Question

Equation C: y = 2x + 8

Equation D: y = 2x + 2

Which of the following best describes the solution to the given set of equations?

No solution
One solution
Two solutions
Infinite solutions

Answer 1

No solution

Explanation:

we have

`y=2x+8` -----> equation C

`y=2x+2` -----> equation D

Comparing equation C and equation D

The two lines are parallel because the slope is equal ( m=2)

The y-intercept are different

so

The lines are different parallel lines

therefore

The system of equations has no solution