Question

How many solutions does this system have?

x-2y=2
y= -2x+5
a. infinitely many solutions
b. no solutions
c. two solutions
d. one solution ******

Answer 1

x - 2y = 2
-2y = -x + 2
y = 1/2x - 1....slope = 1/2, y int = -1

y = -2x + 5.....slope = -2 and y int = 5

different slopes, different y int, means one solution <=== u have 1 solution....and these lines are perpendicular

little tip **
different slopes, different y int = one solution
same slope, same y int = infinite solutions
same slope, different y int = no solutions