# How do you solve this system of equations: #5x - 2y = 0 and - 4x + 3y = 7#?

##### 1 Answer

x = 2

y = 5

#### Explanation:

**Substitution Method**

First, we're going to take one of the two equations and get an equation for a variable. This'll be plugged into the second equation. Don't freak out, though. We'll do it step-by-step:

Let's find an equation for y.

First, let's subtract 5x from both sides to help us get to isolating for y.

Now, divide by -2 to isolate for y:

Because two negatives create a positive:

Now, substitute this into the second equation where y is:

Distribute.

Combine like terms. Converting 15/2 from fraction form to decimal form may help.

Divide by 3.5 to isolate for x.

#x = 2

Now, plug x back into your equation for y: