Question

Solve the system of equationsy=6x^2-5x+1,y=-2x+4

Answer 1

Answer:

Solutions are (1,2) and (-1/2,5)

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Step-by-step explanation:

y=6x^2-5x+1

y=-2x+4

Substitute

-2x+4=6x^2-5x+1

Simplify

0=6x^2-3x-3

Solve by factoring

(x-6/6)(x+3/6)=0

x-1=0, x+1/2=0

x=1, x=-1/2

Plug x's into oringinal equation

y=-2(1)+4, y=-2(-1/2)+4

y=-2+4, y=1+4

y=2, y=5

Write out solutions

(1,2) and (-1/2,5)