Question

"Sean used cross multiplication to correctly solve a rational equation. He found one valid solution and one extraneous solution. If 1 is the extraneous solution, which equation could he have solved?

a) ({2x}{x - 1} = 1)
b) ({x - 1}{2x} = 1)
c) ({x}{x - 1} = 2)
d) ({x - 1}{x} = 2)"

Answer 1

Sean could have solved the equation ({2x}{x - 1} = 1) using cross multiplication.

Step-by-step explanation:

Sean could have solved the equation ({2x}{x - 1} = 1).

To solve this equation, we can use cross multiplication. Cross multiplying the fractions gives us 2x = x - 1. Simplifying this equation, we get x = -1.

However, we are given that 1 is the extraneous solution. Therefore, the equation Sean could have solved is ({2x}{x - 1} = 1).