# How do solve the following linear system?: # -2x+3y=-1 , -x-7y=14 #?

##### 1 Answer

First, solve equation #2 for x.

#### Explanation:

This gives you

Now substitute this value of x into the 1st equation, like this:

Multiply the negative 2 into the parentheses:

Combine like terms:

Move the 28 to the other side of the equation:

Divide both sides by 17 to isolate the y-term:

which gives you:

Since 17 and 29 are both prime numbers, the answer cannot be reduced.

Now you have the value of y. Plug that into the either eqn:

and solve for x.

Divide both sides by negative 2:

Reduce:

Now plug

Does

The fractions look odd, but it checks out.