Solve the system of equations – 5x + y = 56 and x + y = -4 by combining the
equations.

Answers

Answer 1

Answer:

Your solution is (-10, 6).

Step-by-step explanation:

Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.

-5x + y = 56

x + y = -4

Let's change the second equation into one with one variable on each side.

y = -x - 4

Now, plug this into your first equation.

-5x + (-x - 4) = 56

Distribute the + sign.

-5x - x - 4 = 56

Combine the like terms.

-6x - 4 = 56

-6x = 60

Isolate x by dividing both sides by -6.

x = -10

Now plug this back into either equation.

-10 + y = -4

Add 10 to both sides to find y.

y = 6

Your solution is (-10, 6).

Check this by plugging in these values into the equation you have not checked yet.

-5(-10) + (6) = 56

50 + 6 = 56

56 = 56

Your solution is correct.

Hope this helps!

Answer 2

Answer:

x=-10; y=6

Step-by-step explanation:

combine the equations:

-5x + y + x + y = 56 +(-4)

-4x + 2y = 52

add 4x to each side

2y=52+4x

divide by 2

y=26+2x

now substitute 26+2x for y in the second equation:

x + 26 + 2x = -4

3x + 26 = -4

3x = -30

x = -10

therefore y = 6


Related Questions

What is the perimeter?
Explain how you got that.

Answers

Answer:

The perimeter is 60in.

Step-by-step explanation:

Perimeter = the outer length

Add all the lengths

8 + 8 + 4 + 8 + 4 + 8 + 4 + 12 + 4

= 60 in

can someone help me please.

Answers

Answer:

option 3 is the answer

.......

5 more than the product of 12 and 8

Answers

101 because of the way it is

28 songs to 49 songs what is the percent

Answers

Answer:

The answer is about 57.1 %

Step-by-step explanation:

Find the value of x.


ABCD ∼ EFGH

Answers

AB/BC = EF/FG
4/x+3 = 3/2x-4
4(2x-4) = 3(x+3)
8x - 16 = 3x + 9
5x = 25
x = 5

Two planes leave an airport at the same​ time, one flying​ east, the other flying west. The eastbound plane travels 130 mph slower. They are 3850 mi apart after 5 hr. Find the speed of each plane.

Answers

Answer:

Speed of the slower plane = 320 mph

Speed of the faster plane = 450 mph

Step-by-step explanation:

Let the speed of the slower plane = x mph

And the speed of the faster plane = y mph

Difference in their speeds = 130 mph

y - x = 130 --------(1)

Formula for the distance traveled = Speed × time

Distance traveled by the faster plane in 5 hours = 5y miles

Distance traveled by the slower plane in 5 hours = 5x miles

Total distance traveled by both the planes in 5 hours = 5(x + y) miles

5(x + y) = 3850

x + y = 770 ---------(2)

By adding equations (1) and (2)

2y = 900

y = 450 mph

From equation (2)

x = 770 - 450

x = 320 mph

If the triangle are similar, write a similarity
I’ll give you a virtual hug if you answer this right

statement and tell whether you would use
AA similarity, SAS similarity, or SSS
similarity. If not similar, explain why.
Explanation

Answers

Explanation:

We would use AA similarity criterion here because we can see two of the angles in each triangle are equal.

find the value of y.

Answers

Answer:

just take the 96 and 66 and middle it then take y multiply that=answer

Step-by-step explanation:

Answer: 48

Step-by-step explanation: 96/2

Jonah deposited $80 in a savings account earning 5% interest, compounded annually. To the nearest cent, how much interest will he earn in 3 years?​

Answers

$13 i think would be the answer

does anyone know the answer

Answers

Answer:

(1,2)

Step-by-step explanation:

easy lol

brainliest??

What are you trying to find?

Answer: (1,2)

2 + 1 = 3

2 - 1 = 1

Find the value of x.

Answers

Answer:

        x = 4  

Step-by-step explanation:

DE║AC  ⇒   From Thales:  [tex]\dfrac{BD}{BE}=\dfrac{DA}{EC}[/tex]

Therefore:

                 [tex]\dfrac{10-x}{3}=\dfrac{x}2\\\\2(10-x)=3x\\\\20-2x=3x\\\\20=5x\\\\x=4[/tex]

i have this due in like 10 minutes please help!!

Answers

Answer:

1- a

2- b

3- c

4- d

Step-by-step explanation:

For any operation you have to separate the numbers from the unknown quantities (x, y) and then simplify them by solving them with quantities you are familiar with.

Example:

7x + 8 - 6 + 3x

7x + 3x + 8 - 6

you can only solve operations if they are both natural or algebraic numbers

10x + 2

Hope it was helpful ;)

What is the slope of line a?

Answers

Answer:  -1/4  (choice C)

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

Explanation:

Start at the point (0,1). This is the y intercept, which is where the graph crosses the y axis.

Then move down 1 and over to the right 4 spaces. We arrive at (4,0) which is the x intercept.

The process of "down 1, over to the right 4" can be thought of like this

rise/run = -1/4

rise = -1

run = 4

A rise of -1 indicates we go down 1 unit

The run of 4 means we move to the right 4 units

So that's why slope = rise/run = -1/4

-------------------------------------------------------

Here's another approach using the slope formula:

m = (y2-y1)/(x2-x1)

m = (0-1)/(4-0)

m = -1/4

I used the two points (0,1) and (4,0) as (x1,y1) and (x2,y2) respectively. This formula basically says "subtract the y coordinates, subtract the x coordinates in the same order, then divide the differences y over x".

-------------------------------------------------------

Side note: The line moving downhill, as we read from left to right, indicates a negative slope.


Mrs Jones uses 1/4 of a packet of spaghetti each time she cooks pasta.
How many meals will 5 packets of spaghetti last for?

Answers

20 meals is the correct answer5 ÷ ¼ = 20Please let me know if I am wrong.

-2w - 5w=
Please help

Answers

Answer:

-7w

Step-by-step explanation:

Answer:

-7w

Step-by-step explanation:

The temperature on a spring day is 70 degrees. The temperature increases by 1 degree every hour. Which of the following representations does not show the relationship between the number of hours (h) elapsed and the temperature (T) it has reached?

Answers

Answer:

B. [tex]T=h[/tex]

*Sorry, I'm probably too late

Step-by-step explanation:

If the answer was [tex]T=h[/tex], the starting temperature would be [tex]0[/tex]. This is wrong because the starting temeperature is supposed to be [tex]70[/tex].

The graph of a translated exponential function is shown below. Its parent function is y = 4x.

If the graph is asymptotic to y = -3 and contains the points (2, -2) and (3, 1), what is the equation of the function?
PLEASE HURRY!

Answers

The graph of a translated exponential function is shown below. Its parent function is y = 4x.?

The function has been translated down 3 units and right 2 units. The equation of the graphed function is

.. y = -3 +4^(x -2)

If the graph is asymptotic to y = -3 and contains the points (2, -2) and (3, 1), what is the equation of the function?

i don`t know the answer to this one tho,very sorry

Answer:

y = [tex]4^{x - 2}[/tex] - 3

Step-by-step explanation:

The table above shows the height of a plant
at the end of each week. The height
increases by the same amount each week. If
this pattern continues, what will be the
height, in inches, of the plant at the end of
the 7th week?
(A) 1.25 in
(B) 1.50 in
(C) 1.75 in
(D) 2.00 in

Answers

Answer:

(C) 1.75 in

Step-by-step explanation:

It give you a clue in the question that the height increases by the same amount each week. This means that if you add 0.25 you will get a constant answer. What I mean by constant is this :-

0.25 + 0.25 = 0.5 in

I can also do it by multiplying it by 2.

2 × 0.25 = 0.5 in

If you add 0.25 every time or if you multiply 0.25 by the number of weeks you will get your answer same. So,

7 × 0.25 = 1.75 in

Hope this helps, thank you !!

Answer:

c

Step-by-step explanation:

Find the unit rate. Enter your answer as a mixed number. 7 1 A fertilizer covers 8 square foot In = hour. The unit rate is square feet per hour.​

Answers

Answer:

Step-by-step explanation:

7 1 A fertilizer covers 8 square foot In = hour. The unit rate is square feet per hour.​

Determine the slope and the y-intercept of this question Y=-1/2x+3

Answers

slope=

-1/2

y-intercept=

3

Answer:

1/2

Step-by-step explanation:

Vinnie decorated 72 cookies in 36 minutes. How many cookies did he decorate per minute? My sister asked this XD

Answers

2 cookies per minute

Find the 25th term in the arithmetic sequence: 23, 223, 423, 623,...

Answers

Answer:

Step-by-step explanation:

Assuming that 23 is the first term

4823

25th term of arithmetic sequence is 4,823

Given arithmetic sequence:

23, 223, 423, 623,...

Find:

25th term of arithmetic sequence

Computation:

First term a = 23

Common difference d = A2 - A1

Common difference d = 223 - 23

Common difference d = 200

Number of term n = 25

So,

An = a + (n - 1)d

A25 = 23 + (25 - 1)(200)

A25 = 23 + (24)(200)

A25 = 23 + 4,800

A25 = 4,823

Learn more:

https://brainly.com/question/18109692?referrer=searchResults


(b) What per cent is1/2
dozen of one score?

Answers

Answer:

1/2 dozen of one score is 30%.

Step-by-step explanation:

As we know that 1 dozen = 12 units.

1/2 dozen = 1/2 times 12=6 units

1 score = 20 units.

By using this conversion, we get

6/2 times 100=30%

So 1/2 dozen of one score is 30%

Evaluate the exponential function
f(x) = 3x ; x = -2

Answers

Answer:

-6

Step-by-step explanation:

Plug (-2) in for X in the equation

3(-2)

-6

please answer part one!!!! and fill out the chart

Answers

Answer:

39

33

205

Step-by-step explanation:

77-38

128-95

134+71

Write 2 equivalent fractions for the following fractions, use 2/2 and 3/3. 2/3

Answers

Answer:

[tex]\frac{4}{4} ,\frac{5}{5}[/tex]

Step-by-step explanation:

In order to find the answer to this question you need to remember that if the denominator and the numerator are the same they equal one or one whole.

[tex]\frac{2}{2} =1[/tex]

[tex]\frac{3}{3}=1[/tex]

[tex]\frac{4}{4}=1[/tex]

[tex]\frac{5}{5} =1[/tex]

As long as the numerator and the denominator are the same they will be equivalent to 2/2 and 3/3.

Hope this helps.

please find the m∠DEY

Answers

Answer:

41, x=-5

Step-by-step explanation:

m<DEY = m<FEY, by angle bisector theorem

(9x-4) = 41

9x = 45

x = 5

m<DEY = 41

The sales tax for an item was $9.80 and it cost $490 before tax. Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

2%

Step-by-step explanation:

To solve this problem, a proportion would be best! We can set up the first fraction with the two numbers given to us. We'll use t to represent tax, and w to represent the whole. The first fraction will look something like this:

[tex]\frac{9.80t}{490w}[/tex]

Next, we'll set up our second fraction using knowledge of percents. Every percent is a part of 100%, so we can use 100 as our percent to represent the whole. Since we are solving for the percent that is out of 100, we'll use x to represent it. The final proportion should look like this:

[tex]\frac{9.80t}{490w} = \frac{x}{100w}[/tex]

To solve, we just need to cross-multiply and divide! First, multiply 9.80 by 100 to get 980. Finally, divide 980 by 490 to get a final answer of 2%. The sales tax rate is 2%. The final calculations are as follows:

9.80 X 100 = 980

980 / 490 = 2 or 2%

find x for problem c please

Answers

Answer:

here is my solution:

let me know if you have any questions please

what one is it? help pls

Answers

Answer:

(-2, 0)

Step-by-step explanation:

the y-intercept is (-2, 0), therefore that the solution.

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