Determine the number of solutions for the systems
x+y=2 and 2x+2y=8

The number of solutions of the system is zero

Step-by-step explanation:

we have

a)

Isolate the variable y

----> equation A

This is the equation of the line in slope intercept form

where

The slope is m=-1

The y-intercept is b=2

b)

Isolate the variable y

----> equation B

This is the equation of the line in slope intercept form

where

The slope is m=-1

The y-intercept is b=4

Remember that

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

In this problem the lines A and B are parallel lines with different y-intercept

so

The lines don't intersect

therefore

The system has no solution

x-3y=4

step-by-step e

you divide them and then you get the answer i took this class this year

step-by-step explanation: