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
45
45
65
65
To solve the system of equations using substitution, we will solve one equation for x and substitute it into the other equation.
From the second equation, we can rearrange it to solve for x:
x = 65 - 2y
Now, substitute this expression for x in the first equation:
2(65 - 2y) + 3y = 105
Distribute:
130 - 4y + 3y = 105
Combine like terms:
130 - y = 105
To solve for y, subtract 130 from both sides:
-y = -25
Divide both sides by -1 to solve for y:
y = 25
Therefore, the value of y is 25.