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
$$
To find the value of y for the solution to the system of equations, we can solve the system of equations using the method of substitution.
First, let's solve the first equation for x by isolating x:
x + 3y = 15
x = 15 - 3y
Now, substitute this expression for x in the second equation:
3x + 2y = 10
3(15 - 3y) + 2y = 10
45 - 9y + 2y = 10
-7y = 10 - 45
-7y = -35
y = -35 / -7
y = 5
Therefore, the value of y for the solution to the system is y = 5.