Question

How many solutions does this system have?

Answer 1

A system of equation may have one, zero or infinitely many solutions

The system of equation has no solutions

The systems of equation are given as:

$y = -6x - 5$

$-2y +7 = 12x$

Substitute -6x - 5 for y in $-2y +7 = 12x$

$-2(-6x - 5) +7 = 12x$

Open brackets

$12x + 10 +7 = 12x$

$12x + 17 = 12x$

Subtract 12x from both sides of the equation

$17 = 0$

The above equation is not true i.e.$17 \ne 0$

Hence, the system of equation has no solutions

Read more about solutions of equations at:

brainly.com/question/9338739