# How do you solve the following system using substitution?: #2/x - 2/y = 1/2, 1/x + 5/y = 3/4#

##### 1 Answer

You will have to solve for one of the variables. I prefer to do y, so that's how I'll show it to you.

#### Explanation:

Put on equal denominators:

We can now eliminate the denominators because we're on equal denominators.

Solving for y:

Factor out y:

Substitute

Once placed on a common denominator of

Now, we must place the -4x on the new common denominator of 4 - 3x.

Eliminating the denominators, we get the quadratic equation

x = 0 and x = 3

x = 0 cannot be a solution since division by 0 is non defined.

Solving the equation to find y:

So, the solution set is (3, -12)