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.

y =
Math Equation Response Question
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1 answer

To solve the system of equations, we can use either substitution or elimination method.

Using substitution method:

From the first equation, we can rewrite it as: x = 15 - 3y

Substituting x in the second equation:

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

45 - 9y + 2y = 10

-7y = 10 - 45

-7y = -35

Dividing both sides by -7:

y = (-35) / (-7)

y = 5

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