# How do you solve the following system: #-3y + x = -3, -5x − y = 14 #?

##### 2 Answers

#### Explanation:

5 * Eqn(1) + Eqn (2) is

Substituting value of y in Eqn (1),

#### Explanation:

Here's our system:

**Solving By Substitution**

First, let's solve for a variable. I'll choose x, since it appears first. We'll solve for x by using the first equation:

Add 3y to both sides in order to negate -3y. You should now have:

Now, substitute this value in the second equation:

Distribute -5 to all terms in the parentheses. Remember negative and positive multiplication rules. (Two negatives make a positive!)

Now, combine like terms.

Now, subtract 15 from both sides in order to solve for y.

Now, divide by

Because two negatives make a positive,

Now, plug y in the simplified equation used to solve for x earlier:

Substitute

Multiply 3 by 1/16 to get 3/16.