Hey there! :)
Answer:
y = 11.
Step-by-step explanation:
Set both of the equations equal:
5x - 9 = x² - 3x + 7
Rearrange the equation:
0 = x² - 3x - 5x + 9 + 7
Combine like terms:
0 = x² - 8x + 16
Factor:
0 = (x -4)²
Solve for x:
0 = x - 4
x = 4.
Plug this into an equation to solve for 'y':
y = 5(4) - 9
y = 20 - 9
Step-by-step explanation: Is this what you needed ?
I Hope i am right
[tex]x^2-3x+7\\y =x^2-3x+7\\x = -b / 2a\\x = -(-3)/2(1)\\x = 3/2\\y=(3/2)^2-3(3/2) +7\\y=9/4 -9/2 +7\\y = -9/4+7\\y =19/4[/tex]
[tex]Sustitute -y=5x-9-into\\y=x^2-3x+7\\(5x-9)^2=x^2-3x+7\\Solve-for-x \\x =4\\substitute-4-for - -in ; y=5x-9\\y = 5(4)-9\\y = 20-9\\y =11[/tex]
