Question

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!!!!!!

Answer 1

m= 1.5

Explanation:

Answer 2

• m = 1.5

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.