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)
