Solve the following system of equations using substitution. What is the value of y?
2x + 3y = 105
x + 2y = 65
(1 point)
• 15
0 25
• 40
• 65
To solve the system of equations using substitution, we can start by solving one equation for one variable and then substituting that expression into the other equation.
From the second equation, we can solve for x:
x + 2y = 65
x = 65 - 2y
Now we can substitute this expression for x into the first equation:
2x + 3y = 105
2(65 - 2y) + 3y = 105
130 - 4y + 3y = 105
130 - y = 105
Now we can solve for y:
-y = 105 - 130
-y = -25
y = 25
So the value of y is 25.