Answer:
No solution
Step-by-step solution:
We are given an expression:
[tex]\frac{2}{3} w-\frac{1}{4} =\frac{2}{3} (w-\frac{1}{4} )[/tex]
We have only one variable [tex]w[/tex] so we will make [tex]w[/tex] the subject and solve for it.
[tex]\frac{2}{3} w-\frac{1}{4} =\frac{2}{3} (w-\frac{1}{4} )[/tex]
Solving the brackets first to get:
[tex]\frac{2}{3} w -\frac{1}{4} =\frac{2}{3} -\frac{1}{6}[/tex]
Taking LCM on both sides to get:
[tex]\frac{8w-3}{12} =\frac{4w-3}{6}[/tex]
By cross multiplication:
[tex]6(8w-3)=12(4w-3)[/tex]
[tex]48w-18 = 48w -36[/tex]
[tex]48w - 49w -18 + 36 = 0[/tex]
[tex]w[/tex] gets cancelled so we are left with [tex]18\neq 0[/tex]
Therefore, [tex]w[/tex] has no solution.
