Question

Which of these strategies would eliminate a variable in the system of equations?

\begin{cases} 6x + 5y = 1 \\\\ 6x - 5y = 7 \end{cases}
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6x+5y=1
6x−5y=7
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Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
Subtract the bottom equation from the top equation.

(Choice B)
B
Add the equations.

(Choice C)
C
Multiply the top equation by 777, then subtract the bottom equation from the top equation.

Answer 1

9514 1404 393

Answer:

• A Subtract the bottom equation from the top equation.
• B Add the equations.

Explanation:

The x-terms are the same in each equation, so subtracting one equation from the other will eliminate the x-variable.

The y-terms are opposites in the two equations, so adding the two equations will eliminate the y-variable.

Both strategies (subtracting, adding) are applicable to this system of equations.