Respuesta :

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Set the equations to equal each other:
-2x²+1=-2x+1

Solve for x:

-2x²+1=-2x+1
-2x²+2x+1=-2x+2x+1
-2x+2x+1-1=1-1
-2x²+2x=0
2x (-x+1)=0

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

There are two solutions, x=0,1

The solution. to the system of equation is (1,-1)

System of equations

Given the system of equations expressed as

y=−2x+1

y=−2x2+1

Equating both expressions will give.

-2x+1 = -2x²+1

-2x²+2x = 0

Subtract 2x from both sides

-2x² = -2x

x = 1

Substitute x = 1 into any of the equations

y = -2(1)+1

y = -1

Hence the solution. to the system of equation is (1,-1)

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