Let's solve for x.<span><span><span><span>−x</span>−y</span>−z</span>=<span>−8 </span></span>Step 1: Add y to both sides.<span><span><span><span><span>−x</span>−y</span>−z</span>+y</span>=<span><span>−8</span>+y</span></span><span><span><span>−x</span>−z</span>=<span>y−8 </span></span>Step 2: Add z to both sides.<span><span><span><span>−x</span>−z</span>+z</span>=<span><span>y−8</span>+z</span></span><span><span>−x</span>=<span><span>y+z</span>−8 </span></span>Step 3: Divide both sides by -1.<span><span><span>−x</span><span>−1</span></span>=<span><span><span>y+z</span>−8</span><span>−1</span></span></span><span>x=<span><span><span>−y</span>−z</span>+8 </span></span>Answer: <span>x=<span><span><span>−y</span>−z</span>+<span>8</span></span></span>
Easy peassy so basically what you would try to do is eliminate one type of variable from 2 different equations look, we have 2x+2z=4 that already has y eliminated so we just need to eliminate y from another equation
so
we can eliminate the y from the 2nd equation multiply the first equation by 4 and add to 2nd equation
-4x-4y-4z=-32 <u>-4x+4y+5z=7 +</u> -8x-0y+1z=-25
-8x+z=-25
we have -8x+z=-25 and 2x+2z=4
we can elminate the z's multiply first (top) equation by -2 and add to bottom equaton 16x-2z=50 <u>2x+2z=4 +</u> 18x=54
18x=54 divide both sides by 18 x=3
sub back 2x+2z=4 2(3)+2z=4 6+2z=4 minus 6 both sides 2z=-2 divide 2 z=-1
sub back
-x-y-z=-8 -3-y-(-1)=-8 -3-y+1=-8 -2-y=-8 add 2 to both sides -y=-6 times -1 y=6