SOLUTION: Chapter The Elimination Method
6x-5y=3
-12x+8y=5
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Question 74372: Chapter The Elimination Method
6x-5y=3
-12x+8y=5
Found 2 solutions by jim_thompson5910, checkley75:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We need to get the x coefficients the same number but opposite signs so they cancel. We can do this by multiplying the 1st equation by 2.
Add this to
+
----------------
Solve for y
Use this info to solve for x
So the solution is (-49/12,-11/2)
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
MULTIPLY THE FIRST EQUATION BY 2 & ADD.
12X-10Y=6
-12X+8Y=5
-----------------------------------------
-2Y=11
Y=11/-2
Y=-11/2 ANSWER. NOW SUBSTITUTE (-11/2) FOR Y & SOLVE FOR X
-12X+8(-11/2)=5
-12X-88/2=5
-12X-44=5
-12X=5+44
-12X=49
X=49/-12
X=-49/12 ANSWER.
PROOF
(6*-49/12-5*-11/2)=3
(-294/12+55/2)=3
(-294+55*6)/12=3
(-294+330)/12=3
36/12=3
3=3
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