Question

Which statement is true about the equation 3/4 z – 1/4 z + 3 = 2/4 z + 5?

It has no solution.

It has one solution.

It has two solutions.

It has infinitely many solutions.

Answer 1

The lines are parallel lines so they will not touch and therefore have no solution.

Answer 2

well on the left hand side collect the like terms


`( (3)/(4) - (1)/(4) ) z = ?`

then see if it is equal to the right side..?

if it's not equal, there is no solution