Question

Solve each system by substitution
1/2x+1/3y=6
x-y==2

Answer 1

Explanation:

First, let's rewrite the equations.

1/2x + 1/3y =6

x - y = 2

The easiest system to use for substitution is the second one. Let's solve for X.

x - y = 2

add y to both sides!

x = 2 + y

Now that we know x = 2 + y we can use it to substitute in the first equation.

1/2(2 + y) +1/3y = 6

1 + 1/2y +1/3y = 6

5/6y = 5

y = 36/5