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Svetradugi [14.3K]
2 years ago
7

Solve the system of equations a+s=560 8a+3s=2905

Mathematics
1 answer:
Rasek [7]2 years ago
4 0

Answer:

a=245 s=315

Step: Solve a+s=560 for a:

a+s=560

a+s=560(Add -s to both sides)

a=−s+560

Step: Substitute −s+560 for a in 8a+3s=2905:

8a+3s=2905

8(−s+560)+3s=2905

−5s+4480=2905(Simplify both sides of the equation)

−5s+4480=2905(Add -4480 to both sides)

−5s=−1575

−5s=−1575(Divide both sides by -5)

s=315

Step: Substitute 315 for s in a=−s+560:

a=−s+560

a=−315+560

a=245

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What are the x and y-intercepts of the line?
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Answer:

B

Step-by-step explanation:

To find the y-intercept, plug in x=0 in the original equation. (You want to find what y is when x=0)

2x + 3y = -12

2(0) + 3y = -12 (Plug in x=0)

3y = -12 (2*0=0, so you can ignore that part)

y = -4 (Divide both sides by 3)

This narrows down our choices to either A or B.


To find the x-intercept, plug in y=0 into the original equation. (You want to find what x is when y=0)

2x + 3y = -12

2x + 3(0) = -12 (Plug in y=0)

2x = -12 (3*0=0, so you can ignore that part)

x = -6 (Divide both sides by 2)


If our x intercept is -6 and our y intercept is -4, that makes our answer B.

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20x%20%5Cgeq%20x-12" id="TexFormula1" title="\frac{3}{4} x \geq x-12" al
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