In the system of equations below, x and y are variables while m is a constant. For which value of m does the system have no solu
tion?
6x-3y=7
3x-my=5
PLEASE HELP!!!!!!
2 answers:
Answer:
Step-by-step explanation:
<u>Given system:</u>
This is a system of linear equations and the condition of no solution is to have the parallel lines.
Parallel lines have same slope but different y-intercepts.
<u>The first line</u>
- 6x - 3y = 7
- 3y = 6x - 7
- y = 2x - 7/3
The slope is 2 and the y-intercept is -7/3
<u>The second line</u>
- 3x - my = 5
- my = 3x - 5
- y = (3/m)x - 5/m
The slope is 3/m and the y-intercept is -5/m.
<u>We need 3/m = 2 then:</u>
With m = 1.5 the y-intercepts are different.
Answer:
m= 1.5
Step-by-step explanation:
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