Solve for y

Question

2x + 3y = 105
x + 2y = 65

Answer 1

To solve for y, we can use the method of substitution.

First, let's solve the second equation for x:

x + 2y = 65
x = 65 - 2y

Now, substitute this expression for x into the first equation:

2(65 - 2y) + 3y = 105
130 - 4y + 3y = 105
130 - y = 105

Next, subtract 130 from both sides of the equation:

-y = -25

Finally, multiply both sides by -1 to isolate y:

y = 25

Therefore, the solution is y = 25.