substitution x+2y-3z=-23, 4y+2z=-4,-x+y-z=-2

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x+2y−3z=−23, 4y+2z=−4, −x+y−z=−2

Solution

x=−5, y=−3, z=4

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One step at a time

[

x+2y−3z=−23

4y+2z=−4

−x+y−z=−2

]

Isolate y for 4y+2z=−4: y=−z+22

Substitute y=−z+22

[

x+2(−z+22 )−3z=−23

−x−z+22 −z=−2

]

Simplify

[

−4z+x−2=−23

−x+−3z−22 =−2

]

Isolate z for −4z+x−2=−23: z=−−x−214

Substitute z=−−x−214

[

−x+−3(−−x−214 )−22 =−2

]

Simplify

[

−11x−718 =−2

]

Isolate x for −11x−718 =−2: x=−5

For z=−−x−214

Substitute x=−5

z=−−(−5)−214

−−(−5)−214 =4

z=4

For y=−z+22

Substitute x=−5, z=4

y=−4+22

−4+22 =−3

y=−3

The solutions to the system of equations are:

x=−5, y=−3, z=4

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

substitution x+2y-3z=-23, 4y+2z=-4,-x+y-z=-2

Solution

Solution steps

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