Solve the following system of equations using substitution. What is the value of y?%0d%0a%0d%0a2x + 3y = 105%0d%0ax + 2y = 65%0d%0a%0d%0a(1 point)%0d%0aResponses%0d%0a%0d%0a15%0d%0a15%0d%0a%0d%0a25%0d%0a25%0d%0a%0d%0a40%0d%0a40%0d%0a%0d%0a65

Answer 1

To solve the system of equations using substitution, we can solve one equation for one variable and substitute that expression into the other equation.

Let's solve the second equation for x:
x + 2y = 65
x = 65 - 2y

Now substitute this expression for x in the first equation:
2x + 3y = 105
2(65 - 2y) + 3y = 105
130 - 4y + 3y = 105
130 - y = 105
y = 130 - 105
y = 25

Therefore, the value of y is 25.

Correct response: 25