How do you solve the following system using substitution?: #2/x - 2/y = 1/2, 1/x + 5/y = 3/4#
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.
Put on equal denominators:
We can now eliminate the denominators because we're on equal denominators.
Solving for y:
Factor out y:
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)