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

3x + 5y = 1

7x + 4y = −13

Question

What is the y-value of the solution to the system of equations?

3x + 5y = 1

7x + 4y = −13

wanell · Answer

3x + 5y = 1         /*(-4)
7x + 4y = - 13    /*5
______________
-12x - 20y = -4
35x + 20y = -65
______________
-12x - 20y + 35x + 20y = - 4 - 65
35x - 12x = - 69
23x = - 69
x = - 69/23
x = - 3

3x + 5y = 1 
3 * (-3) + 5y = 1
-9 + 5y = 1
5y = 1 + 9
5y = 10     /5
y = 10/5
y = 2

The correct result would be y = 2.

will.h · Answer

2 ways to solve 
Elimination method
Substitution method

Which one you prefer