10
QuizMultiple Choice

Solving One-Variable Equations with Systems — Quiz

Question 10 • Mathematics III

Which system of equations can be graphed to find the solution(s) to 2 minus 9 x is equal to x over 2 minus 1 ?

Answer
A
y is equal to 9 x y is equal to negative x over 2
B
y is equal to 2 minus 9 x y is equal to negative open paren x over 2 minus 1 close paren
C
y is equal to negative 9 x y is equal to x over 2
D
y is equal to 2 minus 9 x y is equal to x over 2 minus 1

Explanation

To find the solutions by graphing, graph each side of the equation as a separate y-expression. The equation is 2 − 9x = x/2 − 1, so the two equations are y = 2 − 9x and y = x/2 − 1. Their intersection has an x-coordinate that solves the original equation, so choice D is correct.

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