Question

solve the system by elimination.
6x - y = -5 & 4x - 2y = 6
put your answer in the form [y=integer].

Answer 1

- Using elimination, you would to eliminate one variable from both equations, so you automatically would get one equation with one variable!

Answer 2

6x-y =-5
4x -2y =6

They ask for the answer in form y= so it makes sense to eliminate the x terms.

In the first equation you have 6x
In the second equation you have 4x

If you multiply the first equation by 2 it will have 12x
If you multiply the second equation by 3 it will have 12x

you can then subtract those 2 equations and 'eliminate' the x terms

Answer 3

the answer is x=-2 and y=-7.6x−y=−5;4x−2y=6
Step: Solve6x−y=−5for y:
6x−y+−6x=−5+−6x(Add -6x to both sides)
−y=−6x−5
−y
−1
=
−6x−5
−1
(Divide both sides by -1)
y=6x+5
Step: Substitute6x+5foryin4x−2y=6:
4x−2y=6
4x−2(6x+5)=6
−8x−10=6(Simplify both sides of the equation)
−8x−10+10=6+10(Add 10 to both sides)
−8x=16
−8x
−8
=
16
−8
(Divide both sides by -8)
x=−2
Step: Substitute−2forxiny=6x+5:
y=6x+5
y=(6)(−2)+5
y=−7(Simplify both sides of the equation)

Answer 4

@Gluttrell : Really nice explanation! But next time, please don't present the answers or the complete solution; instead, give the other person just enough guidance so that he or she can complete the problem solution himself/herself.

mathmale, Moderator

Answer 5

i Know that. they can see from my example where there flaw is and how they need to fix it.

Answer 6

@ Gluttrell
But they dont't - all the poster will take from your answer is "y=-7"

Also - your answer uses substitution method - the question states use the elimination method. My explanation is based on elimination.

Also it's "their flaw" not "there flaw".

Happy Holidays ;-)

Answer 7

ello