Question

If you were to use the elimination method to solve the following system, choose the new system of equations that would result after the variable y is eliminated in the first and third equations, then the first and second equations.
4x + y + 3z = 12
5x - 2y - 2z = -11
-x - y - 6z = -9 (4 points)
Answer

4x + 3z = 12
x + 6z = 9

3x - 3z = 3
13x + 4z = 13

3x - 3z = 3
x + 6z = 9

4x + 3z = 12
13x + 4z = 13

Answer 1

did you want to learn how to do it ? or just the answer?

Answer 2

whatever easier for you .

Answer 3

im bored so i dont mind explaining.. i'll leave it up to you :)

Answer 4

umm , well i want you to explain it

Answer 5

eq1) 4x + y + 3z = 12
eq3) -x - y - 6z = -9

which ever variable you are eliminating(in this case Y) the coefficient should be equal and of opposite sign. (and same degree)

Since the Y variable already meets these conditions.. you just have to add these equations together

Answer 6

Try it and let me know what you get.

Answer 7

Also, are you okay with why I picked equations 1 and 3?

Answer 8

im sorrry can i just get the answer . im doing other problems .

Answer 9

eq1 added to eq3 gives : 3x - 3z = 3
2x(eq1) added to eq2 gives : 13x + 4z = 13