Question

A system of equations is graphed on the coordinate plane.

y = -2x - 3
y = -2x + 2

Select the number of solutions for the system of equations from the choices below.

•no solution
•one solution
•indefinitely many solutions

Answer 1

The system of equations has one solution.

Step-by-step explanation:

The system of equations y = -2x - 3 and y = -2x + 2 represents two lines on the coordinate plane. By comparing the slopes and y-intercepts of the two equations, we can determine the number of solutions for the system of equations:

1. The slopes of both lines are -2, which means they have the same steepness.
2. The y-intercept of the first equation is -3, and the y-intercept of the second equation is 2.

Since the slopes are the same, but the y-intercepts are different, the two lines will intersect at a single point. Therefore, the system of equations has one solution.

Answer 2

Simple...

you have: y= -2x-3 and y= -2x+2

To solve this..simply set them equal to each other-->>

-2x-3=-2x+2

-2x-3=-2x+2
+2x +2x

-3=2

Immediately we see No Solution...

Thus, your answer.