Kate H.

asked • 01/28/24

Solve by elimination

Solve by elimination:

Y=x^2+4x-24,

Y=6x+11

Kate H.

I need to see this by elimination, not substitution.
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01/28/24

Brenda D.

tutor
Multiplying the second equation y = 6x + 11 by negative 1 amounts to the subtraction Peter did below. The second equation becomes -y = -6x -11; so the y is eliminated.
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01/28/24

Kate H.

I see, thank you!
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01/28/24

2 Answers By Expert Tutors

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Raymond B. answered • 01/28/24

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x^2 +4x-24= 6x+11


x^2-2x -35=0


(x-7)(x+5)=0


x =-5, 7


y=-19, 53


(x,y)= (-5,-19) and (7, 53)


check the answers

(-5)^2 +4(-5)-24 = 25-44=-19

6(-5)+11 =-30+11 =-19

7^2 +4(7)-24 =49+28-24=53

6(7)+11 = 42+11 =53


or use a graphing calculator and

see where the parabola intersects the line

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Kate H.

I need to see it by elimination, not substitution.
Report

01/28/24

Raymond B.

they are virtually the same. you have an instructor who is pathetically hairsplitting if s/he thinks there is a real difference
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01/28/24

Kate H.

Haha, thank you
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01/28/24

Kate H.

I can see the "elimination" now
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01/28/24

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