<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
