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

a. 3x – 3z = 3
13x + 4z = 13

b. 3x – 3z = 3
x + 6z = 9

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

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

Answer 1

add 1st and 3rd: gives

3x - 3z = 3

1st and 2nd
multiply 1st by 2
;
8x + 2y + 6z = 24
5x - 2y - 2z = -11
add
13x + 4z = 13

option a is correct

Answer 2

Thank you so much :)

Answer 3

yw