Question

What is the value of y in the solution to the system of equations?

x + y = 1

2x – 3y = –30

a. –8

b. –3

c. 3

d. 8

​

Answer 1

You can either multiply both equation by -2 or multiply both equations by 3 because when you multiply -2 you can eliminate x term
1. -2(x) -2(y) = -2(1) -> -2x -2y=-2

So far
-2x-2y=-2
+
2x-3y= -30

(-2x+2x) + (-2y-3y)= -32
0-5y = -32
Y= 32/5
Substitute y with 32/5

X+ 32/5= 1
Minus -32/5 over
X= -27/5

I don’t know why my answer doesn’t match with those answers above. I also checked by calculator. Did you write the question wrong?

Answer 2

-8

Step-by-step explanation: I worked it out and I got -8 on a graphing calculator.