Question

Give the steps you would use to find the solutions to the system of equations, then name the solutions. you may solve this graphically or algebraically
y=2x^2-6x+1
y=-x+1

Answer 1

We have found one solution to the equations that the two equations intersect at the point (2.5,-1.5).

What are equations?

The equation is actually a relationship between the numbers and the variables. In this question we have two equations y=2x²-6x+1 and y=-x+1 so by equating them we can find the value of x which is the intersecting point of the two lines.

Now the solution of the equations:-

y=2x²-6x+1

y=-x+1

2x²-6x+1 = -x+1

2x²=5x

x=5/2=2.5

y=-2.5+1=-1.5

Hence the one solution to the equations that the two equations intersect at the point (2.5,-1.5).

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