Question

A system of equations is given below.



What is the value of y for the solution to the system? Type your response in the box below.
x+3y=15
3x+2y=10

y =

Answer 1

To find the value of y for the solution to the system of equations, we can use the method of substitution or elimination.

Using the method of elimination, we can eliminate x by multiplying the first equation by 3 and the second equation by -1:

3(x+3y) = 3(15)
-1(3x + 2y) = -1(10)

This simplifies to:

3x + 9y = 45
-3x - 2y = -10

Adding the two equations together, we get:

7y = 35

Dividing both sides by 7, we find:

y = 5

Therefore, the value of y for the solution to the system of equations is 5.