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Mathematics 14 Online
OpenStudy (anonymous):

SOMEONE CHECK MY ANSWER PLEASE

OpenStudy (anonymous):

Explain, in complete sentences, how you would use the elimination method to solve the following system of equations and provide the solution to the system. 5x - 9y = -16 2x + 6y = -16

OpenStudy (anonymous):

5x - 9y = -16<-- multiply by -2 2x + 6y = -16<--- multiply by 5

OpenStudy (anonymous):

after doing the math it is -10x+18y=32 10x+30y=-80 ADD THEM

OpenStudy (anonymous):

48y=48 y=1 PLUG IN Y

OpenStudy (anonymous):

But after plugging in y the equations x=2 and x=5 shouldnt they be the same? because then when i plug x into the equation with y it doesnt work out right

OpenStudy (anonymous):

5(2)-9(1)=-16 no 2(5)+6(1)=-16 no

jimthompson5910 (jim_thompson5910):

you made an error when you got to `48y=48` it should be `48y=-48`. Notice how the 48 on the right side is negative

OpenStudy (anonymous):

so its -1

jimthompson5910 (jim_thompson5910):

yes y = -1

OpenStudy (anonymous):

so 5x-9(-1)=-16 5x+9=-16 5x=-7 x=-7/5

OpenStudy (anonymous):

2x+6(-1)=-16 2x+6=-16 2x=-22 x=-11

jimthompson5910 (jim_thompson5910):

subtract 9 from both sides to get 5x+9=-16 5x+9-9=-16-9 5x = -25

OpenStudy (anonymous):

I forgot they were both negatives go you would add them

OpenStudy (anonymous):

so x=-5 and x=-11

jimthompson5910 (jim_thompson5910):

it should just be x = -5

jimthompson5910 (jim_thompson5910):

2x+6(-1)=-16 2x-6 = -16 2x-6+6 = -16+6 2x = -10 x = -5

OpenStudy (anonymous):

-16+6 is 10 im sorry

OpenStudy (anonymous):

Wow i am bad with signs tonight LOL

jimthompson5910 (jim_thompson5910):

Possibly a sign of fatigue, sorry I couldn't help the pun...

OpenStudy (anonymous):

so the solution would be (-5,-1)?

jimthompson5910 (jim_thompson5910):

so in the end, x = -5 and y = -1, yes

OpenStudy (anonymous):

hahah! very punny

OpenStudy (anonymous):

Thank you Jim! I appreciate it!

jimthompson5910 (jim_thompson5910):

you're welcome

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