HELP ASAP!!! Solve the following system of equations by substitution. Show all steps.
f(x) = -x^2 + 2x + 3
g(x) = -2x + 3

(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.

(-8, -1)

Step-by-step explanation:

The problem tell us that y = -1.  Plug in this y-value to wherever you see a y in the first equation.  You should be able to solve from there.  Your solution will be (-8,-1).

-2x - 3(-1) = 19

-2x + 3 = 19

-2x = 16

x = -8

For this particular problem, you could have also looked at the answer choices and seen that there was only one answer with the correct y-value.

(-8, -1)

Step-by-step explanation:

The problem tell us that y = -1.  Plug in this y-value to wherever you see a y in the first equation.  You should be able to solve from there.  Your solution will be (-8,-1).

-2x - 3(-1) = 19

-2x + 3 = 19

-2x = 16

x = -8

For this particular problem, you could have also looked at the answer choices and seen that there was only one answer with the correct y-value.

Point form: (10,5) Equation form: x=10, y=5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point form: (10,5) Equation form: x=10, y=5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.