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=-5x+1 y=-2x-2

Second option: One solution. Independent.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

Since the equations of the system have this form, we know that they are lines.

We can identify that the y-intercept of the first equation is:

Now we need to find the x-intercept. Substitute and solve for "x":

Then, we can graph the first line which passess through the points (0,1) and (0.2,0). Observe the graph attached.

The y-intercept of the second equation is:

Now we need to find the x-intercept. Substitute and solve for "x":

Then, we can graph the second line, which passess through the points (0,-2) and (-1,0).

You can observe in the graph that the lines intersect at the point (1,-4). Therefore, that point is the solution of the system of equations.

Since the lines intersect, then there is one solution that is true for both equations. It is independent

Let...

x=the number

Equation: 4x-11=11

Solve.

4x-11=11

4x=22

x=5.5

5.5