Question

solve system of equation:
x+y=-1
y-z=4
2x+y+5z=-38

Answer 1

i need step by step help please?

Answer 2

x+y=-1
y-z=4
2x+y+5z=-38

multiplie second by -1 and add to first and second

x+y=-1
-y+z=-4
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x+z=-5

-y+z=-4
2x+y+5z=-38
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2x+6z=-42 divide both sides by 2
x+3z=-21

x+z=-5
x+3z=-21 subtract second from first
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0 -2z = -5 -(-21)
-2z = -5+21
-2z = 16

z= 16/(-2) = -8

x-8=-5
x=-5+8

x=3

x+y=-1
3+y=-1
y=-1-3

y=-4

x=3
y=-4
z=-8