5
QuizMultiple Choice

Linear Systems of Equations — Test

Question 5 • Mathematics 8

What is the first step in solving the following system of equations? 3 x plus y is equal to 23 8 x plus 2 y is equal to 23

Answer
A
Substitute the value of x from one equation into the other equation.
B
Subtract the second equation from the first equation.
C
Substitute the value of y from one equation into the other equation.
D
Solve the first equation for y .

Explanation

The first equation, 3x + y = 23, is easy to rearrange to isolate y: y = 23 − 3x. Then you can substitute that expression into the second equation. So the first step is to solve the first equation for y, choice D.

AI-written and checked against the verified answer.

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