6
QuizMultiple Choice

Problem Solving with Systems — Quiz

Question 6 • Mathematics 8

Which is the best first step when solving the following system of equations? x plus y is equal to 3 4 x minus y is equal to 7

Answer
A
Multiply the second equation by negative 1 .
B
Multiply the first equation by 4 .
C
Add the first equation to the second equation.
D
Subtract the second equation from the first equation.

Explanation

The y-terms have opposite coefficients: +y in the first equation and −y in the second. Adding the equations cancels y immediately, leaving 5x = 10. So the best first step is to add the first equation to the second equation.

AI-written and checked against the verified answer.

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