Solve the following system of equations using substitution. What is the value of y?
2x + 3y = 105
x + 2y = 65
Responses
15
25
40
65
To solve this system of equations using substitution, we will solve one equation for x and substitute that expression into the other equation.
First, 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 = 105 - 130
-y = -25
To solve for y, multiply both sides of the equation by -1:
y = 25
Therefore, the value of y is 25.