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 for the solution to the system, we can use the method of substitution or elimination.
Using elimination, we can multiply the first equation by 2 and the second equation by 3 to make the coefficients of x in both equations the same:
2(x + 3y) = 2(15)
3(3x + 2y) = 3(10)
This simplifies to:
2x + 6y = 30
9x + 6y = 30
Subtracting these two equations, we get:
(9x + 6y) - (2x + 6y) = 30 - 30
7x = 0
x = 0
Substituting this value of x into the first equation:
0 + 3y = 15
3y = 15
y = 15/3
y = 5
Therefore, the value of y for the solution to the system is:
y = 5