elimination math problem someone please help, I am trying to study for a final math test and came across?

Question

solve the following system by elimination.

5x+6y=32
-5x-2y=12


can someone please help me?

Answer 1

5x+6y=32
-5x-2y=12
--------------
0x + 4y = 44
y = 11

5x +6(11) = 32
5x = 32 - 66 = -34
x = -6.8

check
-5(-6.8) - 2(11) = 12
34 - 22 = 12
checks

Answer 2

Basically, to solve by elimination you add or subtract entire equations by other equations to eliminate a variable to solve for the other variable:

You have this:

5x + 6y = 32
-5x -2y = 12

You can see that there is a 5x and a -5x, which together make 0x, so you should eliminate that particular variable, which gives you this:

5x + 6y = 32
+-5x -2y = 12

0x + 4y = 44

4y = 44

y = 11

Now you go back and substitute the 11 into either of the equations and solve for x:

5x + 6(11) = 32

5x + 66 = 32

5x = -34

x = -34/5

= -6.8

So your solutions are as follows:

x = -6.8
y = 11

To check, you can plug both in to the OTHER equation and see if they check out.

-5(6.8) - 2(11) = 12

34 - 22 = 12

12 = 12

So the solutions are valid.

Answer 3

since 5x and and -5x are opposite and equal, just add the two equations.

5x+6y=32
-5x-2y=12
-----------------
4y = 44
y = 11

plug 11 for y
5x + 6(11) = 32
5x + 66 = 32
5x = -34
x = -34/5

(-34/5 , 11)

Answer 4

To solve this problem, use a system of equations like this

5x+6y=32
+ -5x-2y=12
_____________
4y=20 simplified y=5

Answer 5

add them
4y = 44
so y = 11
5x = 32 - 66 = -34
so x = -34/5

Answer 6

so, you have
y=(12+5x)/-2
subsitute the y
5x+6((12+5x)/-2)=12
5x+3((12-5x)/-1)=12
-5x-3(12-2x)=-12
-5x-36+6x=-12
x=24
***x=24***
-5(24)-2y=12
-120-2y=12
-2y=132
y=-66
pretend its right i can't figure out where i went wrong...good luck anyways

Answer 7

5x+6y=32
-5x-2y=12
---------------
4y=44
y=11

5x+6(11)=32
5x=-34
x=-34/5

Answer 8

Its been my journey that beating your self up would not remedy something. Your no longer stupid. in line with risk the teachers coaching type and your discovering type do no longer tournament up. most of the time whilst human beings fail a concern that they are particularly attempting at its no longer through fact their dumb, its through fact the instructor in basic terms would not teach the way you learn. absolutely everyone has the comparable recommendations especially plenty, its in basic terms the way we take up concepts is distinctive. determine what your discovering type is. Are you a seen learner? A audio learner? A kinetic learner? Then, get your self a prepare that suits that type-- many public libraries have them unfastened. perchance you have try stress. attempt to calm your self down, take deep breaths in the process the examination and close your eyes for some seconds. think of constructive. Banish all unfavorable recommendations out of your recommendations. Its "i will pass the try" =), no longer "oh no i don't comprehend if i will pass" 0.o or perchance you have an undiagnosed concern like ADHD or Dyslexia. probable no longer. They commonly capture some thing like that somewhat youthful. Do you have a tricky time seeing the board? Do you get adequate sleep each and each evening? Do you have hypersensitive reactions? it would desire to be a medical concern. Are you under pressure at domicile? Depressed? it may additionally be a psychological concern, do no longer take grades so heavily. specific they're significant yet, no longer THAT significant. keep in mind grades in straight forward terms degree what you probably did for the duration of a definite quantity of time consistent with how your instructor grades. It does no longer degree how clever or in a position you're. I failed algebra in extreme college yet handed with A+++'s in college. (And in college they hide the comparable quantity of meterial HS covers in 40 weeks in in basic terms 10 weeks!!!) i grow to be attempting tricky the two situations. My recommendations in basic terms matured over the years. a brilliant form of folk are like that, fairly with arithmetic through fact it makes use of the logic area of your recommendations plenty. (which continues to be coming up for the duration of early life). do no longer beat your self up over it. playstation whilst your analyzing take a injury each hour and walk around for ten minutes-- in line with risk grab a snack. It actually enables you take up extra info than in case you probably did no longer!

Answer 9

the first one x=4 and y=2... 20+12=32

the second one x= -4 and y= 4... 20-8=12