# How do you solve the following linear system: #3x + 5y = -1, 2x − 5y = 16#?

##### 3 Answers

#### Explanation:

Starting with the first equation, we need to make either x or y the subject (I chose x)

Now we simply substitute

Finally, we should also verify both answers by substituting both of them into the other equation again.

#3(3) + 5(-2) = -1

See a solution process below:

#### Explanation:

**Step 1)** First, solve each equation for

**Equation 1:**

**Equation 2:**

**Step 2)** Because both equations are equal on the left side we can now equate the right sides of the equation and solve for

**Step 3)** Substitute

**The Solution Is:**

Or

#### Explanation:

Notice that the terms in

Add the equations together to eliminate the

Substitute in A:

Check in B:

The values are correct.