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 =
Math Equation Response Question
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To solve this system of equations, we can use the method of substitution.
First, solve the first equation for x:
x + 3y = 15
x = 15 - 3y
Next, substitute this expression for x in the second equation:
3x + 2y = 10
3(15 - 3y) + 2y = 10
45 - 9y + 2y = 10
-7y + 45 = 10
-7y = -35
y = -35/-7
y = 5
Therefore, the value of y for the solution to the system is 5.