4
AssignmentMultiple Choice

Rewriting Equations to Use Substitution

Question 4 • (AG Q3) Math 8: 25-26 (JTurner)

What is the solution to the system of equations?5x – 4y = 6–5x + 4y = –10

Answer
A
(4, 4)
B
(–2, –5)
C
infinitely many solutions
D
no solution

Explanation

Add the equations: (5x − 4y) + (−5x + 4y) = 6 + (−10). The x- and y-terms cancel, leaving 0 = −4, which is impossible. Therefore, the system has no solution, so the correct choice is “no solution.”

AI-written and checked against the verified answer.