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Sagot :
Answer:
- m = 1.5
Step-by-step explanation:
Given system:
- 6x - 3y = 7
- 3x - my = 5
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.
The first line
- 6x - 3y = 7
- 3y = 6x - 7
- y = 2x - 7/3
The slope is 2 and the y-intercept is -7/3
The second line
- 3x - my = 5
- my = 3x - 5
- y = (3/m)x - 5/m
The slope is 3/m and the y-intercept is -5/m.
We need 3/m = 2 then:
- m = 3/2 = 1.5
With m = 1.5 the y-intercepts are different.
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