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velikii [3]
3 years ago
12

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!!!!!!
Mathematics
2 answers:
sleet_krkn [62]3 years ago
8 0

Answer:

  • m = 1.5

Step-by-step explanation:

<u>Given system:</u>

  • 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.

<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>

  • m = 3/2 = 1.5

With m = 1.5 the y-intercepts are different.

Fittoniya [83]3 years ago
4 0

Answer:

m= 1.5

Step-by-step explanation:

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