13
practice examMultiple Choice

Practice Exam

Question 13 • Mathematics II

Which steps could be part of the process in algebraically solving the system of equations, y plus 5 x is equal to x squared plus 10 and y is equal to 4 x minus 10 ? Choose two correct answers.

Answer
A
0 is equal to x squared minus 9 x
B
0 is equal to x squared minus 9 x plus 20
C
One x -value of a solution to the system is 4 .
D
y plus 5 x is equal to x squared plus 10 plus 4 x minus 10
E
y is equal to x squared plus 5 x plus 10

Explanation

Substitute y = 4x − 10 into y + 5x = x² + 10. This gives 4x − 10 + 5x = x² + 10, which rearranges to 0 = x² − 9x + 20, matching choice B. Factoring gives (x − 4)(x − 5) = 0, so x = 4 is one solution value, as stated in choice C.

AI-written and checked against the verified answer.

Previous
Next