6
AssignmentMultiple Choice

Multiplying One Equation to Solve Systems

Question 6 • (AG Q3) Math 8: 25-26 (JTurner)

Which statement describes this system of equations? 9x – 6y = 15,3x – 2y = 5

Answer
A
The equations in the system are equivalent equations.
B
There is no solution to the system of equations.
C
The system of equations has one solution at (3, 2).
D
The system of equations has one solution at (5, 5).

Explanation

Multiplying the second equation, 3x − 2y = 5, by 3 gives 9x − 6y = 15, which is exactly the first equation. The equations describe the same line, so they are equivalent and have infinitely many solutions—not just one solution.

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