4
QuizMultiple Choice

Linear Systems of Equations — Test

Question 4 • Mathematics 8

Which system of equations has no solution?

Answer
A
y is equal to 4 x plus 5 and y is equal to 4 x minus 5
B
y is equal to 4 x plus 5 and y is equal to 8 x plus 10
C
y is equal to 4 x plus 5 and 2 y is equal to 8 x plus 10
D
y is equal to 4 x plus 5 and y is equal to 1 fourth x plus 5

Explanation

A system of two lines has no solution when the lines have the same slope but different y-intercepts, so they are parallel and never meet. In choice A, both equations have slope 4, but their y-intercepts are 5 and −5. The other choices describe lines with different slopes or the same line, so they have at least one solution.

AI-written and checked against the verified answer.

Previous
Next