# How do you solve #-2x - 4y + 2z = -8#, #-x - 5y +12z = 5#, #3x + 5y - z = 10#?

##### 1 Answer

#### Explanation:

From the given equations

We eliminate the variable x first

multiply the terms of the second equation by 2 then subtract it from the first equation

after subtraction

multiply the original second equation by 3 then add to the third equation

after addition

Multiply this fifth equation by 3 then add to the fourth equation

the result is

and

Using the reduced fifth equation

Using the original second equation

the solution is

God bless...I hope the explanation is useful..