# How do you solve the system of equations algebraically #x-y-z=7, x+2y+3z=-12, 3x-2y+7z=30#?

##### 1 Answer

Mar 29, 2017

Multiply the first equation by -3 first. Then go ahead, x=2/26; y=-226/26 and z=46/26

#### Explanation:

When you multiply the first equation by -3, you will get:

Then combine this equation with the second. Yielding,

When you see y (in the first (original equation)), write this and for the second original equation do the same.

You will get

Since

Finally, you can easily solve using any original equation.