wowsantitizer
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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 solution?

6x-3y=7
3x-my=5

PLEASE HELP!!!!!!

Respuesta :

mhanifa

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.

HyperXKid

Answer:

m= 1.5

Step-by-step explanation: