SOLUTION: What is the answer to this elimination equation -4x+3y=-14 -2x-4y=-18

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Question 1205196: What is the answer to this elimination equation
-4x+3y=-14
-2x-4y=-18

Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
That is a system of equations; not an "elimination equation".

You can try multiplying your equation #2 by -2, and then add the corresponding members.

system%28-4x%2B3y=-14%2C4x%2B8y=36%29

Adding, find
0x%2B11y=22
11y=22
highlight%28y=2%29

If you want elimination to find for x, then at the original system, multiply #1 by 4 and multiply #2 by -3. Then, add the corresponding members,...

Note that there is also another way for finding x. Equation #2 can first be simplified as x%2B2y=9. Equivalent system can be shown as:
system%28-4x%2B3y=-14%2Cx%2B2y=9%29.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

-4x%2B3y=-14.....eq.1
-2x-4y=-18.....eq.2
------------------------------
using method of elimination to solve this system
-4x%2B3y=-14.....eq.1
-2x-4y=-18.....eq.2.....both sides multiply by 2
------------------------------
-4x%2B3y=-14.....eq.1
-4x-8y=-36.....eq.2
------------------------------subtract
-4x%2B3y+-%28-4x-8y%29=-14-%28-36%29.....eq.1
-4x%2B3y+%2B4x%2B8y=-14%2B36
3y+%2B8y=22
11y=22
y=2

go to
-4x-8y=-36.....eq.2, substitute y
-4x-8%2A2=-36
-4x-16=-36
36-16=4x
20=4x
x=5

solution:
x=5
y=2
intersection point:
(5,2)