Classify the system of equations 2x=-3-y 4+y=-2x-2
intersecting
parallel
coincident
hurry!

parallel

Step-by-step explanation:

we have

2x=-3-y

isolate the variable y

y=-2x-3 > equation A

4+y=-2x-2

isolate the variable y

y=-2x-2-4

y=-2x-6 > equation B

Remember that

If two lines are parallel, then their slopes are the same

Line A and Line B have the same slope m=-2 and different y-intercept

therefore

The lines are parallel

Second option: Parallel.

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.

Solve for "y" in each equation:

Equation 1

Equation 2

You can notice that the slope of the Equation 1 is:

And the slope of the Equation 2 is:

Observe that , then you can conclude that the lines are: Parallel.