# How do you solve #y-6x=22# and #4y+17=-11x# using substitution?

##### 2 Answers

#### Explanation:

**Solving through Substitution**

First, we want to solve for a variable that can be easily found. Then, we'll plug the variable in to solve for the variables. Let's start with finding what y is since it looks easy to solve for.

Add 6x to both sides to negate

Substitute in this value for y in the second equation to solve for the variables:

Distribute.

Combine like terms.

Subtract

Divide by -35 to solve for x.

Now, plug this variable back into this equation to solve for y:

Distribute.

Add.

Confirm this by plugging it back into the two equations:

Distribute.

Confirmed: these are the correct variables.

See a solution process below:

#### Explanation:

**Step 1)** Solve the first equation for

**Step 2)** Substitute

**Step 3)** Substitute

**The Solution Is:**

Or