Question

A set of equations is given below:

Equation C: y = 2x + 6
Equation D: y = 2x + 2

Which of the following best describes the solution to the given set of equations? (5 points)


One solution
Two solutions
No solution
Infinitely many solutions

Answer 1

both have a slope of 2 yet have different y intercepts meaning on a graph they never collide therefore there are no solutions.

Answer 2

y=2x+6

y=2x+2

Solve y=2x+6 for y

Substitute 2x+6 for y in y=2x+2

y=2x+2

2x+6=2x+2

Add -2x to both sides

2x+6-2x= 2x+2-2x

6=2

Add -6 to both sides

6-6=2-6

0=-4

No Solution