If x= p + 2, find the value of p from the equation p - × - 3 upon 3 = 2 upon 3 ( 4 - × ). and the answer is 3 upon 4 . please give me answer with solve
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Answer:
Step-by-step explanation:
\begin{gathered}\frac{p - x - 3}{3} = \frac{2}{3(4 - x)} \\ where \: x = p + 2 \\ \frac{p - (p + 2) - 3}{3} = \frac{2}{3(4 - (p + 2))} \\ \frac{p - p - 2 - 3}{3} = \frac{2}{3(4 - p - 2)} \\ \frac{ - 5}{3} = \frac{2}{3(2 - p)} \\ - 5(3(2 - p)) = 2 \times 3 \\ - 5(6 - 3p) = 6 \\ - 30 + 15p = 6 \\ 15p = 6 + 30 \\ 15p = 36 \\ p = \frac{36}{15} = \frac{12}{5}\end{gathered}
3
p−x−3
=
3(4−x)
2
wherex=p+2
3
p−(p+2)−3
=
3(4−(p+2))
2
3
p−p−2−3
=
3(4−p−2)
2
3
−5
=
3(2−p)
2
−5(3(2−p))=2×3
−5(6−3p)=6
−30+15p=6
15p=6+30
15p=36
p=
15
36
=
5
12
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