Question

solve the rational expression 4/(z+3)=2/(z-2)

Answer 1

4 / (z + 3) = 2 / (z - 2)

So multiply both sides by (z + 3) and (z - 2), then you get:

  4(z - 2) = 2(z + 3)

Now multiply out the brackets:

4(z - 2) = 2(z + 3)

=> 4z - 8 = 2z + 6

Now subtract '2z' from both sides of the equation to get all the 'z' terms on the same side:

So, 4z - 8 = 2z + 6 becomes

4z - 2z - 8 = 2z  - 2z + 6

=> 2z - 8 = 6

Now add 8 to both sides of the equation:

So, 2z - 8 = 6 becomes

2z - 8 + 8 = 6 + 8

=> 2z = 14

Now divide through by 2 to find the value of z:

(2z)/2 = 14/2

=> z = 7

 

So the solution is z = 7.