Question

How many solutions does the system of equations below have?
y=7/10x -2
y=2/5x + 8/3

Answer 1

`(7)/(10) x - 2 = (2)/(5) x + (8)/(3) \\ (7)/(10) x - (4)/(5) x = (8)/(3) + 2 \\ (3)/(10) x = (14)/(3) \\ x = (14)/(3) / (3)/(10) \\ x = (14)/(3) * (10)/(3) \\ x = (140)/(3)`

`y = ( (7)/(10))( (140)/(3) ) - 2 \\ y = (980)/(30) - 2 \\ y = (98)/(3) - 2 \\ y = (196)/(3) - (6)/(3) \\ y = (190)/(3) \\ y = 63 (1)/(3)`

BE AWARE THERE WAS NO NEED FOR ME TO SOLVE THE EQUATION I JUST WANTED TO SHOW YOU HOW IT'S DONE THE ANSWER NOW TO YOUR QUESTION IS THERE IS 1 PAIR OF ANSWER BUT TWO ANSWERS FOR THE VARIABLES.