Question

I will medal. (:
What is the solution set of the following system of equations?

5x - 3y - 10 = 0
x + y - 7 = 0

A. {(31/8, 25/8)}
B. {(25/8, 31/8)}
C. {(45/2, 31/2)}
D. {(31/2, 45/2)}

Answer 1

Hello @brooke_rogers1 my name is Cylah and I can help you with this equation. Could you please tell me what grade you are in

Answer 2

I am a junior but I'm studying for ACT so i have to go back over all my math that i've learned.

Answer 3

Ok, well what would be your best guess. I will explain the answer afterwards.

Answer 4

B?

Answer 5

A would be correct, good try but the reason A is correct is because
5x-3y-10=0 => y=(5/3)x-10/3
x+y-7=0 => y=-x+7
{y=(5/3)x-10/3
{y=-x+7
multiply second equation in (-1) => (-1)(y=-x+7)
so
y=(5/3)x-10/3
-y=x-7
add two equation (add left side with left side & rught side with right side) then:
0=(8/3)x-31/3
(8/3)x=31/3
x=31/8
y=-x+7 => (x=31/8)=>y=31/8 =>y=25/8
so : x=31/8 & y=25/8

Answer 6

Is that easy to understand?

Answer 7

Yeah..i think i actually got it, thank you so much, i really appreicate your help!

Answer 8

Thanks for asking. Here anytime for help