9
AssignmentMultiple Choice

Solving Linear Systems by Substitution

Question 9 • OK-Algebra II A

Do not solve the system below. Its solution is (x, y) = (1, 1). Instead, answer the questions.3x + 4y = 75x + 10y = 15If you were going to solve the system above, what would be the best first step according to the strategy you just learned?

Answer
A
Solve for x in the first equation.
B
Solve for y in the first equation.
C
Solve for x in the second equation.
D
Solve for y in the second equation.

Explanation

The second equation, 5x + 10y = 15, can be simplified by dividing every term by 5 to get x + 2y = 3. Then x has a coefficient of 1, so it is straightforward to isolate x: x = 3 − 2y. Thus, the best first step is to solve for x in the second equation.

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