Solve the following system of equations using substitution. What is the value of y?
2x+3y = 105
× + 2y = 65
To solve the system of equations using substitution, we will solve one of the equations for x or y and substitute it into the other equation.
Let's solve the second equation, × + 2y = 65, for x:
x = 65 - 2y
Now, substitute x into the first equation:
2(65 - 2y) + 3y = 105
Simplify the equation:
130 - 4y + 3y = 105
Combine like terms:
-y + 130 = 105
Move -y to the right side:
130 = 105 + y
Subtract 105 from both sides:
25 = y
The value of y is 25.