Question

Solve by substitution with 3 variables (Please show your steps) MEDAL AWARDED:
x=4
x+y=-6
4x-3y+2z=26

Answer 1

hint:

x = 4, we can replace "x" with "4" whenever we see it

so

if

x + y = -6, what is y?

Answer 2

y=-10

Answer 3

good!

now we have x = 4 and y = -10

now we can plug those in to the third equation to find z

Answer 4

Right...

Answer 5

4x-3y+2z=26

16 + 30 + 2z = 26

z = ?

Answer 6

z=-10

Answer 7

hm, not quite

Answer 8

Let me double check...

Answer 9

2z = -10
z = ?

Answer 10

-5

Answer 11

good!

so our final answer is (4,-10,-5)

Answer 12

Sorry about that, I misread it and solved too fast..

Answer 13

Thank you! You make this problem seem so easy!