Question

!!!20 POINTS AND BRAINLIEST!!!HELP ASAP!!!

Answer 1

Answer:

(0,3) and (4,-5)

Step-by-step explanation:

f(x) just means y and so does g(x).

Both equations are equal to y. So they are equal to each other. Set equal to each other to solve. After finding x, don't forget to find the y that goes with each x. See image.

Answer 2

The values of the solution of the given system of equation are (0,3) and (4,-5)

How to find the solution to the given system of equation?

For that , we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in another equation to get a linear equation in one variable.

If there comes a = a situation for any a, then there are infinite solutions.

If there comes wrong equality, say for example, 3=2, then there are no solutions, else there is one unique solution to the given system of equations.

We have been given the system of equation,

f(x) = -x^2 + 2x + 3

g(x) = -2x + 3

Both equations are equal to y.

$y = -x^2 + 2x + 3\\y= -2x + 3$

So they are equal to each other.

by solving both the equation

$-x^2 + 2x + 3 = -2x + 3\\\\ x^2 -4x = 0$

x(x-4) = 0

Therefore, x = 4 and x= 0

To find the value of y,

y = -2x + 3

y = -2(4) + 3

y = -5

y = -2x + 3

y = -2(0) + 3

y = 3

Learn more about the equation here:

brainly.com/question/26254258

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