97.0k views
3 votes
Which system of equations has only one solution
4x+2y=8 -4x-2y=3

User Wheleph
by
8.5k points

1 Answer

5 votes
Answer is this system of equations has NO solution

Step by step

4x + 2y = 8
Arrange in y intercept form
2y = -4x + 8
Divide all by 2 to solve
y = -2x + 4

-4x -2y = 3
Arrange in y intercept form
2y = -4x -3
Divide all by 2 to solve
y = -2x -3/2

These equations have the same slope (2) with different y intercepts, so they are parallel lines. Parallel lines never intersect so there is no solution.
User Dnord
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.