Question

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x² + 10 a

y = 4x -10? Select two options.
Oy=x² + 5x + 10
Oy + 5x = x² + 10 + 4x - 10
00=x²-9x
00=x²-9x + 20
One x-value of a solution to the system is 4.

Answer 1

0 = x² - 9x + 20

4 is a solution for the system.

Explanation:

y + 5x = x² + 10

y = 4x -10

Replacing the value of y in the first equation. This method is called sustitution.

(4x -10) + 5x = x² + 10

4x - 10 + 5x = x² + 10

4x + 5x - 10 = x² + 10 organizing.

9x - 10 = x² + 10 sum of similar terms.

0 = x² + 10 -9x + 10 organizing.

0 = x² - 9x + 10 + 10 organizing.

0 = x² - 9x + 20 sum of similar terms.

What happens if replace 4 in the equation.

0 = 4² - 9(4) + 20

0 = 16 - 36 + 20

0 = -20 + 20

0 = 0 I find that 4 is a solution for the system.