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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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.