Question

Try to solve the system of equations. Explain the result.

4x + y=- 4
2y + 162= -28
- 14x – 3y + 4z= 7
There are 3 answers

Answer 1

x = -95, y = 22.75, z = -6.625

Explanation:

We start with the line that only has 1 variable, since that's easiest to solve.

2y + 162 = -28

2y = -190

y = -95

Then we go to the line that has 2 variables and substitute y with -95, since that's what y is equal to.

4x -95 = -4

4x = 91

x = 22.75

Then we do the last line with the answers we've gotten so far.

-14(22.75) - 3(-95) + 4z = 7

-318.5 + 285 +4z = 7

4z = -26.5

z = -6.625