What is the solution to the linear system of equations?
x + 4y = –8
x – y = 7
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OpenStudy (anonymous):
A.
(4, –3)
B.
(4, 3)
C.
(7, 0)
D.
The system has no solution
OpenStudy (harsha19111999):
Hey cancel x
OpenStudy (anonymous):
what?
OpenStudy (harsha19111999):
It will be 1st option
OpenStudy (anonymous):
wait so its c?
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OpenStudy (harsha19111999):
cancel x
OpenStudy (anonymous):
im sorry I really don't understand :/
OpenStudy (anonymous):
can someone help me?
OpenStudy (harsha19111999):
subtract one equation from the other
OpenStudy (anonymous):
okay, wait a minute ill do that
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OpenStudy (anonymous):
wait what would they be?
OpenStudy (anonymous):
First you solve both equations to get x. In this case, that would be -4y-8 and y+7. Since they both equal x, they equal each other. You use the equation -4y-8=y+7 to solve for y, which is -3. Knowing that, you plug -3 into one of the original equations. You solve that to get x=4, so it's A.
OpenStudy (anonymous):
oh okay well that's not to hard, thank you for the clear explanation!