SOLUTION: Please answer this question for me. If one linear equation is y=(-3)x+5, which of the following linear equations will produce a system with no solution? A.) y=1/3+5 B.) 6x+2y=8

Question 64991: Please answer this question for me.
If one linear equation is y=(-3)x+5, which of the following linear equations will produce a system with no solution?
A.) y=1/3+5
B.) 6x+2y=8
C.) 4x-3y=12
D.) -3x+y=5
Thank you so much. i beleive the answer is C but i am not very sure.
Found 2 solutions by funmath, stanbon:
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Please answer this question for me.
If one linear equation is y=(-3)x+5, which of the following linear equations will produce a system with no solution?
A.) y=1/3+5
6x+2y=8
C.) 4x-3y=12
D.) -3x+y=5
If you have two lines with the same slope and different y-intercepts, they are parallel and will never intersect to give you a solution. The slope intercept form of a line is Where m=slope and b=y-intercept. Put the equations into slope intercept form, the one that has m=-3 and b does not = 5 is the one that will yield no solution.
Look at B.
6x+2y=8
6x-6x+2y=-6x+8
2y=-6x+8
2y/2=-6x/2+8/2
y=-3x+4
The slope m=-3 and the y-intercept b=4
This line is parallel to y=-3x+5 the lines will never intersect to give you a solution.
Happy Calculating!!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
B.) 6x+2y=8
The slope of this line is -3 so this
line is parallel to the given line
so a system with two two equations
would have no solution.
Cheers,
Stan H.
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