Question

Solve y= 2/3x +7 and 3y= 2x -3

Answer 1

The system has no solution

Explanation:

we have

`y=(2)/(3)x+7` ----> equation A

`3y=2x-3`

Isolate the variable y

Divide by 3 both sides

`y=(2)/(3)x-1` ------> equation B

Compare equation A and equation B

Both lines have the same slope and different y-intercept

so

Line A and Line B are parallel lines

The lines do not intersect

therefore

The system has no solution, because both lines are parallel

see the attached figure to better understand the problem