Solve the following system of equations using substitution. What is the value of y?

Question

2x + 3y = 105
x + 2y = 65
(1 point)
15
25
40
65

Answer 1

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

We can solve the second equation for x:
x = 65 - 2y

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

Divide both sides of the equation by -1 to solve for y:
y = 25

Therefore, the value of y is 25.