Use the substitution method to solve the system of equations.

2x + 3y = 12
y = x-1

A. (3, 4)
B. (0,4)
C. (3,2)
D. (2,3)

Use The Substitution Method To Solve The System Of Equations.2x + 3y = 12y = X-1A. (3, 4)B. (0,4)C. (3,2)D.

Answers

Answer 1

Answer:

(3,2)

Step-by-step explanation:

Answer 2

The solution to the system of equations is (3, 2). So, the answer is option C. (3,2).

How to solve the equations by substitution method?

We are given the system of equations:

2x + 3y = 12

y = x-1

We can use the substitution method by substituting the expression for y in the first equation with the value of y from the second equation:

2x + 3(x-1) = 12

Simplifying the equation, we get:

2x + 3x - 3 = 12

5x = 15

x = 3

Now, we can substitute the value of x in either of the two equations to find the value of y:

y = x-1

y = 3-1

y = 2

Therefore, the solution to the system of equations is (3, 2). So, the answer is option C. (3,2).

To know more about substitution method follow

https://brainly.com/question/22340165

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Related Questions

Carla rode her bike30 miles in 2 1/2hours.

Answers

30/2.5=12 i’m hoping that’s the answer you’re looking for:)

Answer:

12 m/s

Step-by-step explanation:

Speed= disntance/time

30/2.5= 12m/s

oredr -3/4, 3/8, -1 1/8, - 1/2 from least to greatest.​

Answers

Answer: -1 1/8 -3/4 -1/2 3/8

5x-3(x-2)-x

Helppppp I just need you to simplify and show your work plz =)

Answers

The answer would be: x+6

5x-3(x-2)-x

5x-3x + 6-x

x+6

Answer:

x+6

Step-by-step explanation:

5x-3(x-2)-x

5x-3x+6-x

x+6

three less than the total of a number and
nine

Answers

Answer:

(x+9)-3

Step-by-step explanation:

what is 12/$0.89 because i need help like now. So please give me the right answer this time cause last time i failed because i asked brainly.

Answers

Answer:

$13.4 is the answer

Step-by-step explanation:

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Answers

Answer:

y = 3x - 9

Step-by-step explanation:

To write a line with a slope of 3, set the coefficient of x to be 3:

y = 3x

But notice, if we evaluate x when it is equal to 2, we get 2*3=6, but we want it to be -3. Therefore, we just subtract 9 from the equation:

y = 3x - 9

which point on the number line represents the quotient 12 divided by -2

Answers

Point C is the answer I believe

(GIVING BRAINLIEST AND EXTRA POINTS!!!)
Solve the equation using equivalent fractions. SHOW YOUR WORK.

6/10 - 1/5 + 1/4

Answers

Answer:0.65

Step-by-step explanation:

Firstly, we convert the fractions into decimals:

6/10=0.6

1/5=0.2

1/4=0.25

We then get :  0.6 - 0.2 + 0.25

0.6-0.2=0.4

0.4+0.25=0.65

36/ BLANK= 12/ BLANK FILL IN THE BLANKS PLEASE

Answers

Answer:

All real numbers

Step-by-step explanation:

36/something1 = 12/something2

36/12=3

to get from something1 to something2 you divide by 3

36/3x=12/x

Cross multiply

36x=12*3x

36x=36x

x=x

Since each side of the equation is equal, the solution is all real numbers

I hope this helps :)

write the slope - intercept form of the equation. PLEASE HELP. i will mark brainliest

Answers

Answer:  

Step-by-step explanation:  To find the equation of the perpendicular line, take the reciprocal of the slope with the opposite sign.

For example, the reciprocal of 4/3 is 3/4 and if it's negative, the opposite is positive.

The reciprocal of 2 is 1/2. and if it's positive, the opposite is negative.

The reciprocal of any number or fraction is whatever you multiply it by to get 1.  4 times 1/4 is  1  5/4 times 4/5 is 1.  What about 1 ?  1 times 1 is 1. So one is its own reciprocal!

I hope this helps. (we're not supposed to give answers to t e s t s.)

Which shapes have parallel sides? Choose ALL the correct answers.​

Answers

Answer:

the green one for sure..

Step-by-step explanation:

Evaluate the Expression: 8r - 4w - 9 when r = 7 and w = 4

Answers

Answer:

= 31

Step-by-step explanation:

So first plug in the numbers 8(7) - 4(4) - 16

then solve

56 - 16 - 9 = 31

Answer:

31

Step-by-step explanation:

8r - 4w - 9 when r = 7 and w = 4.

~Substitute

8(7) - 4(4) - 9

~Simplify

56 - 16 - 9

~Subtract

40 - 9

~Subtract

31

Best of Luck!

5.
Write an algebraic expression for the verbal expression "five times a number minus eight.”
A 5x + 8
B 8x - 5
C 5x - 8
D 5 + X - 8

Answers

The answer is C. . . . . . . . . . . . .

As the standard deviation of outcomes for Martin Products increases, investing in Martin Products becomes riskier because:__________a. the range of outcomes having some probability becomes widerb. an outcome at or near the expected return of 10% becomes less likelyc. although the chances of some big gains increase, the chances for some big losses also increase.d. all of the above reasonse. none of the above reasons

Answers

Answer:

c. although the chances of some big gains increase, the chances for some big losses also increase.

Step-by-step explanation:

In the Martin Products, there is a probability that the investment could either succeed or fail. The standard deviation of the outcome carried out to determine the risks involved in investing in his products helps in trying to offer the investors the clearer picture of the risks involved.

Answer:

d. all the reasons above

gets paid 15 per hour what is the minumim number of hours that joseph must work per week to make $450 per moth? (1moth=4weeks)

Answers

Answer:

Minimum of 7 1/2 hours ( 7 hours, and 30 minutes )

Step-by-step explanation:

Rate = money / time

time = money / rate

_____________

1 month = 4 weeks

1 week = 7 days

1 day = 24 hours

1 hour = 60 minutes

_____________

$15 / 1 hour = 1 day / 24 hours = 1 week / 7 days = 1 month / 4 weeks = $450 / 1 month.

$15 / 1 hour / 1 week = $450 / 1 month

$15 / 1 hour / 1 week = $450 / 4 weeks

$15 / 1 hour / 1 week = $112.5 / 1 week

$15 / 1 hour = $112.5

112.5 / 15 = 7.5 hours.

Combine like terms: 3 + 2 + 7t - 4t *

Answers

The answer is : 5+3t

Solve the given system of equations utilizing either the substitution or addition method.

Answers

Answer:

Value of x=4 and y=-13/3

Step-by-step explanation:

We need to solve the systems of equations

[tex]5x+3y=7 \ and \ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}[/tex]

Solving using substitution method:

Let:

[tex]5x+3y=7---eq(1) \\ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}---eq(2)[/tex]

Find value of x from eq(1) and put in eq(2)

[tex]5x+3y=7\\5x=7-3y\\x=\frac{7-3y}{5}[/tex]

Put value of x in eq(2)

[tex]\frac{3}{2}(\frac{7-3y}{5}) -\frac{3}{4}y =\frac{37}{4}\\\frac{21-9y}{10} -\frac{3}{4}y =\frac{37}{4}\\Taking \ LCM\\\frac{21*2-9y*2-3y*5}{20} =\frac{37}{4}\\\frac{42-18y-15y}{20} =\frac{37}{4}\\42-33y=\frac{37}{4}*20\\42-33y=185\\-33y=185-42\\-33y=143\\y=\frac{143}{-33}\\y=-\frac{13}{3}[/tex]

Now, finding value of x by putting value of y in eq(1)

[tex]x=\frac{7-3y}{5}\\x= \frac{7-3(-\frac{13}{3}) }{5}\\x=\frac{7+13}{5}\\x=\frac{20}{5}\\x=4[/tex]

So, Value of x=4 and y=-13/3

The store buys easels for 10.20 each he marks up the cost by 75% to get the selling price what is the selling price of each easel? show your work

Answers

$17.85 per easel , $10.20 with a 75% markup causes for $7.65 to be added to original purchase price

Which phrase does not describe a rational number?

Select one:

repeating decimal

integer number

terminating decimal

О

non-repeating, non-terminating decimal

Answers

Answer: D) non-repeating, non-terminating decimal

========================================================

Explanation:

Any rational number is of the form p/q, where p and q are integers and q is nonzero. So basically it's any fraction you can think of.

If a decimal terminates (ie stops) then it is a rational number.

For instance, 0.9 = 9/10 is rational

If a decimal repeats in some way, then it is rational

Eg: 0.0833333.... = 1/12

The dots after the 3 indicate the 3's go on forever.

So far, the facts mentioned allow us to rule out choices A and C. Choice B can be ruled out as well because any integer is always rational. We can easily prove it as such by writing the integer x as x/1.

A more concrete example could be writing the integer 7 as 7/1. So this shows 7 is rational and any integer is rational. Simply stick the integer over 1.

The only thing left at this point is choice D. Any non-repeating non-terminating decimal will be irrational. An example would be pi = 3.14159... which goes on forever without a pattern that repeats. Effectively the decimal digits of pi are more or less random. An irrational number is one that is not rational, and therefore cannot be written as a ratio of two integers.

390% of 120 my brain is turning to mush right now... i have a mental capacity of a 2nd grader

Answers

Answer:

Your answer is 468

Step-by-step explanation:

390% of 120 = 468

there are 4 circles and 16 squares. What is the simplest ratio of circles to total shapes?

Answers

Answer=4:20 I think that’s the answer

don't know what I was thinking
Leaving my child behind
Now I suffer the curse
Knowing now I am blind
With all this anger, guilt and sadness
Coming to haunt me forever
I can't wait for the cliff at the end of the river
Is this revenge I am seeking
Or seeking someone to avenge me
Stuck in my own paradox
I wanna set myself free
Maybe I should chase and find
Before they'll try to stop it
It won't be long before I'll become a puppet
It's been so long
Since I last have seen my son
Lost to this monster
To the man behind the slaughter
Since you've been gone
I've been singing this stupid song
So I could ponder
The sanity of your mother
I wish I lived in the present
With the gift of my past mistakes
But the future keeps luring in like a pack of snakes
Your sweet little eyes
Your little smile, is all I remember
Those fuzzy memories mess with my temper
Justification is killing me
But killing isn't justified
What happened to my son, I'm terrified
It lingers in my mind
And the thought keeps on getting bigger
I'm sorry my sweet baby
I wish I've been there
It's been so long
Since I last have seen my son
Lost to this monster
To the man behind the slaughter
Since you've been gone
I've been singing this stupid song
So I could ponder
The sanity of your mother

Answers

I love that song lol

It’s been in my head forever now
          (っ◔◡◔)っ ♥ Hey Honey Here!♥answer♥

bro this is so sad....

                            ♥  お力になれて、嬉しいです

Classify the sentences based on whether they describe an investing mistake or a good investment decision.

Answers

Answer:

What sentences?

Step-by-step explanation:

Can you please add a picture, a sentence(s), an article, or any source so we can actually answer them for you??????

Answer:

Investing mistake :

Silvia successfully avoids investing

in unfamiliar foreign companies.

Ryan invests only in the stock of

companies he has complete faith in.

Martha decides to hold her

investments despite their poor

market performance over

three years.

Good investment decision:

Sanjay invests in companies in

a variety of industries.

Ricardo starts investing in index

funds with the aim of building

his wealth steadily over time.

Sabina invests small amounts in

stocks, bonds, and real estate.

Step-by-step explanation:

Got it right in edmuntum :)

Someone please help with letter B

Answers

Answer:

No because the coefficiant is different for each pair of mothers and daughters

Step-by-step explanation:

what would be the value of m?

Answers

Answer:

126°

Step-by-step explanation:

First you need to find the 3rd inside angle.

72+54+x=180

126+x=180

x=54

Once you have the 3rd inner angle, you can take 180 and subtract it from it so you would have 180-54 which is 126

4:9 is an equivalent ratio to 36:__

Answers

Answer:

36:81

Step-by-step explanation:

4 to 36 is times 9, so you have to multiply 9 by 9 to complete the ratio which is how you get 81.

please help me im so lost​

Answers

Answer:

5x + 1

Step-by-step explanation:

f(x) = 3x + 2

g(x) = - 2x + 1

f(x) - g(x) = 3x + 2 - ( - 2x + 1 ) = 3x + 2 + 2x - 1 = 5x + 1

Whoever answers this first gets brainliest
Pls help ASAP

Answers

Answer:

Terminating goes to 3

Repeating goes to 4

Rational goes to 1

Irrational goes to  2

Answer:

1. Rational Number

2. Irrational Number

3. Terminating Decimal

4. Repeating Decimal

Step-by-step explanation:

A Rational Number can be written as a ratio of two integers. For example, as a simple fraction. That leaves us for the answer to the second one as irrational. To terminate means to end, so a terminating decimal is a decimal that does not go on forever. Whereas, a repeating decimal continues repeating forever (or indefinitely).  

I would like to apologize in advance if any of these were incorrect.

Please help, this chapter was on derivatives...

Answers

Answer:  ds/dt = 11

================================================

Work Shown:

Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)

s^2 = x^2+y^2

s^2 = 15^2+20^2

s^2 = 225+400

s^2 = 625

s = sqrt(625)

s = 25

-----------

Now we can apply the derivative to both sides to get the following.  Don't forget to use the chain rule.

s^2 = x^2 + y^2

d/dt[s^2] = d/dt[x^2 + y^2]

d/dt[s^2] = d/dt[x^2] + d/dt[y^2]

2s*ds/dt = 2x*dx/dt + 2y*dy/dt

2(25)*ds/dt = 2(15)*5 + 2(20)*(10)

50*ds/dt = 150 + 400

50*ds/dt = 550

ds/dt = 550/50

ds/dt = 11

-----------

Side note: The information t = 40 is never used. It's just extra info.

the value of the expression when t-32 degrees is what degrees

Answers

Complete Question:

The temperature doubled.  Evaluate when t = 32 degrees.

The value of the expression when t = 32 degrees is  degrees

Answer:

64 degrees

Step-by-step explanation:

Given

[tex]t = 32[/tex]

Required

Determine the value of t when it doubles

To do this, we simply multiply the current temperature by 2.

So:

[tex]t = 32[/tex] becomes

[tex]t = 32 * 2[/tex]

[tex]t = 64[/tex]

Hence, the temperature when it doubles is 64 degrees

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