Question

Solve 4-p/p-1=2/p-1

Answer 1

Answer:

Final answer is p=2.

Step-by-step explanation:

Given equation is $\frac{4-p}{p-1}=\frac{2}{p-1}$

Cross multiply

$\left(4-p\right)\left(p-1\right)=2\left(p-1\right)$

$4p-4-p^2+p=2p-2$

$4p-4-p^2+p=2p-2$

$0=p^2-4p+4-p+2p-2$

$0=p^2-3p+2$

$0=p^2-1p-2p+2$

$0=(p-1)(p-2)$

$0=(p-1)$ or $0=(p-2)$

$1=p$ or $2=p$

But p=1 will make denominator 0 and make the problem not defined.

Hence final answer is p=2