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This is a parabola intercepted by a straight line. It will have 0, 1 or 2 solutions.

If you convert the straight line to y = 4-x, and fill it in to the first one, you get:

4-x = x^2-3x+4
x^2 - 2x = 0
x(x-2) = 0
x = 0 or x=2

Great! We didn't even need the quadratic formula.

Fill in these x values in either formula (or both to double check!) to find that (0,4) and (2,2) are the solutions. Put differently:

x=0, y=4 and x=2, y=2 are the solutions.

The solution of system of equation is x=0, y=4 and x=2, y=2.

What is equation?

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in math when you do not know the exact number in a calculation.

Given equation: y= x²-3x+4 and x + y=4

We have ,straight line to y = 4-x, to which we have to convert and fill it in to the first one.

So, 4-x = x²-3x+4

x² - 2x = 0

x(x-2) = 0

x = 0 or x=2

The solution of system of equation is x=0, y=4 and x=2, y=2.

Learn more equation here:

https://brainly.com/question/10413253

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