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Goryan [66]
3 years ago
9

X+y+z=2 X-y-z=2 x-y+z=-6

Mathematics
1 answer:
likoan [24]3 years ago
3 0
<h2>The first one:</h2>

<u>solve for x.</u>

Step 1: Add -y to both sides.

x+y+z+−y=2+−y

x+z=−y+2

Step 2: Add -z to both sides.

x+z+−z=−y+2+−z

<u>x=−y−z+2</u>

<u>solve for y.</u>

Step 1: Add -x to both sides.

x+y+z+−x=2+−x

y+z=−x+2

Step 2: Add -z to both sides.

y+z+−z=−x+2+−z

<u>y=−x−z+2</u>

<u>solve for z.</u>

Step 1: Add -x to both sides.

x+y+z+−x=2+−x

y+z=−x+2

Step 2: Add -y to both sides.

y+z+−y=−x+2+−y

<u>z=−x−y+2</u>

<u />

<h2>The second one:</h2>

<u>solve for x. </u>

Step 1: Add y to both sides.

x−y−z+y=2+y

x−z=y+2

Step 2: Add z to both sides.

x−z+z=y+2+z

<u>x=y+z+2</u>

<u>solve for y.</u>

Step 1: Add -x to both sides.

x−y−z+−x=2+−x

−y−z=−x+2

Step 2: Add z to both sides.

−y−z+z=−x+2+z

−y=−x+z+2

Step 3: Divide both sides by -1.

−y /−1  = −x+z+2 /−1

<u>y=x−z−2</u>

<u>solve for z.</u>

Step 1: Add -x to both sides.

x−y−z+−x=2+−x

−y−z=−x+2

Step 2: Add y to both sides.

−y−z+y=−x+2+y

−z=−x+y+2

Step 3: Divide both sides by -1.

−z /−1  =  −x+y+2 /−1

<u>z=x−y−2</u>

<u />

<h2>The third one:</h2>

<u>solve for x. </u>

Step 1: Add y to both sides.

x−y+z+y=−6+y

x+z=y−6

Step 2: Add -z to both sides.

x+z+−z=y−6+−z

<u>x=y−z−6</u>

<u>solve for y.</u>

Step 1: Add -x to both sides.

x−y+z+−x=−6+−x

−y+z=−x−6

Step 2: Add -z to both sides.

−y+z+−z=−x−6+−z

−y=−x−z−6

Step 3: Divide both sides by -1.

−y /−1  =  −x−z−6 /−1

<u>y=x+z+6</u>

<u>solve for z.</u>

Step 1: Add -x to both sides.

x−y+z+−x=−6+−x

−y+z=−x−6

Step 2: Add y to both sides.

−y+z+y=−x−6+y

z=−x+y−6

I hope this was helpful <3

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