Solve the system by addition. Give the y-value of the solution.

3x + 2y = 22 and 5x + 3y = 35

So we need to cancel out one of the placeholders

lets cancel out he y terms

3x+2y=22

5x+3y=35

multply first equation by 3 and second by - 2

9x+6y=66

-10x-6y=7=-70

add them together

9x-10x+6y-6y=66-70

-x=-4

multipoly - 1

x=4

subsitute

3 (4) + 2y=22

12+2y=22

subtract 12

2y=10

divide 2

y=5

x=4

y=5