Respuesta :
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
-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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