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Solve the system by elimination.
{y= 16x+44
{y= -x^2 +8x+28

1 Answer

5 votes

Answer:

x= -4, y= -20

Explanation:

y= 16x+44

(y= -x²+8x+28) * (-1)

multiply both sides by -1

y= 16x+44

-y= x²-8x-28

add the equations to eliminate y

y-y= x²+16x-8x+44-28

0= x² +8x +16 this is the same with (x+4)²=0 so x= -4

go back to the first equation and substitute x with -4 and solve for y

y= 16*(-4) +44 = -64+44 = -20

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