Question

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

Answer 1

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

Let's use the elimination method:

Multiply the first equation by 3 and the second equation by -1 to eliminate the x term:
3(x+3y) = 3(15)
-1(3x+2y) = -1(10)

Simplifying, we get:
3x + 9y = 45
-3x - 2y = -10

Add the two equations together:
(3x + 9y) + (-3x - 2y) = 45 + (-10)
7y = 35

Divide both sides of the equation by 7:
y = 5

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