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.

y =
Math Equation Response Question
$$
{x+3y=15}
{3x+2y=10}

Answer 1

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

Let's use the elimination method:

Multiplying the first equation by 2 and the second equation by 3, we have:

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

Simplifying the equations, we get:

2x + 6y = 30
9x + 6y = 30

Subtracting the first equation from the second equation, we eliminate the y term:

(9x + 6y) - (2x + 6y) = 30 - 30
7x = 0
x = 0

Substituting x = 0 into the original first equation:

0 + 3y = 15
3y = 15
y = 5

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