A system of equations is given below.

Question

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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Answer 1

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

Let's use the method of substitution:

From the first equation, we can rearrange it to solve for x:
x = 15 - 3y

Substitute this value of x into the second equation:
3(15 - 3y) + 2y = 10

Simplify the equation:
45 - 9y + 2y = 10
-7y + 45 = 10

Subtract 45 from both sides:
-7y = -35

Divide both sides by -7 to solve for y:
y = -35 / -7

Simplify:
y = 5

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