je2ssi3cafern
Answered

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

Verified Answer :

garydesir1

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

imbad2

Answer:

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

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