Question 166353: Solve by elimination.
-3+2y-5z=-3
3x-y+3z=4
3x+5y-8z=6
Answer by elima(1433)   (Show Source):
You can put this solution on YOUR website! -3+2y-5z=-3
3x-y+3z=4
3x+5y-8z=6
We will take two of the equations, add them together to eliminate a variable;
-3x+2y-5z=-3
+ 3x-y+3z=4
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y-2z=1
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Now take two other equations and add together to eliminate a variable;
-3x+2y-5z=-3
+ 3x+5y-8z=6
-------------
7y-13z=3
===========================
Now add these two together to eliminate a variable;put first we will need to multiply the first equation by -7 so we will be able to eliminate;
-7(y-2z=1)
-7y+14z=-7
Now we add;
-7y+14z=-7
+ 7y-13z=3
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z=-4
=============================
Now we have our z, so we use that in one of the new equations to find y;
y-2(-4)=1
y+8=1
y=-7
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We have our y and z so lets plug those values into one of the original equations to find x;
3x-(-7)+3(-4)=4
3x+7-12=4
3x-5=4
3x=9
x=3
Hope you got all of that
:)
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