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UNO [17]
3 years ago
14

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

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0

Answer:

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

Don't forget to like rate and mark brainliest!

Step-by-step explanation:

y=6x^2-5x+1

y=-2x+4

<em>Substitute</em>

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

<em>Simplify</em>

0=6x^2-3x-3

<em>Solve by factoring</em>

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

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

x=1, x=-1/2

<em>Plug x's into oringinal equation</em>

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

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

y=2, y=5

<em>Write out solutions</em>

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

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