The solution to the equation are (2, 9) and (-1, 0)
Given the functions as shown below:
- y = –x2 + 4x + 5
- y = x2 + 2x + 1
Equating both equations will give;
–x^2 + 4x + 5 = x^2 + 2x + 1
Collect the like terms to have:
–x^2 + 4x + 5 –x^2 - 2x - 1 = 0
-2x^2 + 2x + 4= 0\
2x^2 - 2x - 4 = 0
x^2 - x - 2 =0
Factorize to have:
x^2 - x - 2 =0
x^2 - 2x + x - 2 = 0
x(x-2)+1(x-2) = 0
x = 2 and -1
If x = 2
y = 2^2 + 2(2) + 1
y = 9
If x = -1
y = (-1)^2 + 2(-1) + 1
y = 1 - 2 + 1
y = 0
Hence the solution to the equation are (2, 9) and (-1, 0)
Learn more on equations here: brainly.com/question/16863577
By solving the system by substitution, we got the solutions:
x = 2/3, y = 8/3.
<h3>
Solving the system of equations:</h3>
I guess we need to solve problem number 5, so let's do that.
Here we have the system of equations:
y = x + 2
3x + 3y = 6
To solve it by substitution, we need to isolate one of the variables in one of the equations and then replace that in the other equation.
For example, here we can see that "y" is already isolated in the first equation, so we can use that and replace it in the second equation.
3x + 3y = 6
3x + 3*(y = x + 2) = 6
3x + 3*(x + 2) = 6
Now we have an equation that only depends on x, so we can solve it:
3x + 3x + 2 = 6
6x + 2 = 6
6x = 6 - 2 = 4
x = 4/6 = 2/3.
Now we can use the first equation to find the value of y:
y = x + 2 = 2/3 + 2 = 2/3 + 6/3 = 8/3.
Then the solution is:
x = 2/3 and y = 8/3.
If you want to learn more about systems of equations, you can read:
brainly.com/question/13729904
A. If you draw the graphs you will find that B, C and D are all false.
Answer:
because in first expressions they common out x and y and then it get cancel out
Step-by-step explanation:
See answer in above picture
