# How do you solve #1 / 5x + 1/3y = - 1 / 15# and #1 / 5x + 2y = 8 / 5# using substitution?

##### 2 Answers

We can solve each equation for

We can now solve for

And now we can substitute back into one of the original equations to solve for

Which gives us the point

graph{(1/5x+1/3y+1/15)(1/5x+2y-8/5)=0}

#### Explanation:

I would usually simplify the equations to get rid of the fractions first, but in this case we have identical terms in each equation, so I will solve for those first.

We can substitute the other sides of each equation for

Substitute into

Check: