# Math-System of Equations

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1. Solve for x, y, z in the following system:

2x-3y-2=z
y-x+z=1
-y-2z=7

• Math-System of Equations -

From the 3rd: y = -2z-7

in the 1st:
2x - 3(-2z-7) - z = 2
2x +6z +21 - z = 2
2x + 5z = -19 (#4)

in the 2nd:
-2z - 7 - x + z = 1
x + z = -8
2x + 2z = -16 (#5)

#4 - #5 :
3z = -3
z = -1
sub into y = -2z-7 ---> 2-7 = -5
sub into 2nd:
-5 - x - 1 = 1
-x = 7
x = -7

so , x = -7, y = -5 and z = -1

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