Question

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 =

Answer 1

y = 0

Answer 2

are you sure

Answer 3

I apologize for the error in my previous response. Let's solve the system of equations to find the correct value of y.

To solve the system, we can use the method of substitution or elimination. Let's use the method of substitution.

From the first equation, we can isolate 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.