Solve the following system of equations using substitution. What is the value of y? 2x + 3y = 105 x + 2y = 65 (1 point) Responses 15 15 25 25 40 40 65 65
To solve the system of equations using substitution, we can solve one equation for one variable and substitute it into the other equation.
Let's solve the second equation for x:
x + 2y = 65
x = 65 - 2y
Now we substitute this value of x into the first equation:
2x + 3y = 105
2(65 - 2y) + 3y = 105
130 - 4y + 3y = 105
130 - y = 105
Now, let's solve for y:
130 - y = 105
-y = 105 - 130
-y = -25
Dividing both sides by -1:
y = 25
Therefore, the value of y is 25.