Question

which equation forms a pair of linear equations with 9x + 12y = 48 such that the system has no solution?

Answer 1

Answer:

Option D

Step-by-step explanation:

The given equation is 9x + 12y = 48.

When we simplify this equation by dividing through by 3, we obtain:

$3x + 4y = 12$

The slope-intercept form is

$y = - \frac{3}{4} x + 3$

The slope is

$- \frac{3}{4}$

and the y-intercept is 3.

An equation that forms a pair of linear equations with 9x + 12y = 48 such that the system has no solution must have a slope of

$- \frac{3}{4}$

and a y-intercept not equal to 3.

That should obviously be the last option.

D) 6x +8y=32

The slope-intercept form is:

$y = - \frac{3}{4} x + 8$