x-2y-3z=7 2x+y+z=-5 x+3y-2z=0 Find x, y and z.

BolkowN 2021-08-13 Answered
x-2y-3z=7
2x+y+z=-5
x+3y-2z=0
Find x, y and z.

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Expert Answer

nitruraviX
Answered 2021-08-14 Author has 25103 answers
x-2y-3z=7 (a)
2x+y+z=-5 (b)
x+3y-2z=0 (c)
Eliminate x in (c)
x=-3y+2z (d)
Substitute into (d) to (a)
-5y-z=7
Multiply (a) by 2:
2x-4y-6z=14 (f)
Substract each side of (b) and (f):
5y+7z=-19 (g)
Eliminate y. add each side of (d) and (g) and solve for z:
6z=-12
z=-2
Solve for y using (g):
5y+7(-2)=-19
5y=-5
y=-1
Solve x using (c):
x+3(-1)-2(-2)=0
x-3+4=0
x+1=0
x=-1
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