Question

Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.y=-6x+6 y=-3x-3

Answer 1

Hey there! :)

Answer:

Has one solution.

(Graphed below)

Explanation:

***The equations are graphed below, but this can also be solved algebraically.***

Set each equation equal to each other:

-6x + 6 = -3x - 3

Add 6x to both sides:

6 = 3x - 3

Add 3 to both sides:

9 = 3x

x = 3.

Plug in the value of x into an equation to solve for y:

y = -6(3) + 6

y = -18 + 6

y = -12.

The system of equations only has ONE solution at (3, -12).

On the graph, as well, the point of intersection is at (3, -12). This is the solution.