[tex]\small\mathcal{\fcolorbox{pink} {black} {\pink{Question}}}[/tex]
If
[tex] \frac{1}{p} + x = 2[/tex]
⇝❐Then find p from the equation:
[tex] \frac{3x + 8}{9} - \frac{9x - 4}{2} = \frac{2x + 5}{3} [/tex]
[tex]\small\mathcal{\fcolorbox{pink} {black} {\pink{Answer~ correctly}}}[/tex]
Easy question
Answers & Comments
Answer:
[tex]\huge\rm{\color{purple}{{\underline{༊Ꭿᥒ}}}} {\color{orchid}{{\underline{᥉ᥕ}}}}{\pink{{\underline{ᥱꭱ༊}}}} {\color{lightpink}{}}[/tex]
Step-by-step explanation:
To find the value of p, we'll start by simplifying the given equation: 1/p + x = 2.
3x + 8/9 - 9x - 4/2 = 2x + 5/3
3x + 8/9 - 9x - 2/2 = 2x + 5/3
3x + 8/9 - 9x - 1 = 2x + 5/3
3x - 9x + 8/9 - 1 = 2x + 5/3
-6x + 8/9 - 1 = 2x + 5/3
-6x + 8/9 - 9/9 = 2x + 5/3
-6x - 1/9 = 2x + 5/3
-6x - 1/9 = 2x + 5/3
27(-6x - 1/9) = 27(2x + 5/3)
-162x - 27/9 = 54x + 135/3
-162x - 3 = 54x + 45
-162x - 3 = 54x + 45
-162x - 54x = 45 + 3
-216x = 48
x = 48 / -216
x = -1/3
1/p + (-1/3) = 2
1/p = 2 + 1/3
1/p = (6 + 1) / 3
1/p = 7/3
p = 3/7
Therefore, the solution for p is p = 3/7.
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[tex]\Large{\mathbb{\colorbox{beige}{\color{gold}{ANSWER}}}}[/tex]
Step-by-step explanation:
[tex]\pink\longrightarrow[/tex]To find the value of p, we'll start by simplifying the given equation: 1/p + x = 2.
To solve the equation 3x + 8/9 - 9x - 4/2 = 2x + 5/3 for p, we need to isolate p on one side of the equation. Let's simplify it step by step:
3x + 8/9 - 9x - 4/2 = 2x + 5/3
3x + 8/9 - 9x - 2/2 = 2x + 5/3
3x + 8/9 - 9x - 1 = 2x + 5/3
3x - 9x + 8/9 - 1 = 2x + 5/3
-6x + 8/9 - 1 = 2x + 5/3
-6x + 8/9 - 9/9 = 2x + 5/3
-6x - 1/9 = 2x + 5/3
-6x - 1/9 = 2x + 5/3
27(-6x - 1/9) = 27(2x + 5/3)
-162x - 27/9 = 54x + 135/3
-162x - 3 = 54x + 45
-162x - 3 = 54x + 45
-162x - 54x = 45 + 3
-216x = 48
x = 48 / -216
x = -1/3
1/p + (-1/3) = 2
1/p = 2 + 1/3
1/p = (6 + 1) / 3
1/p = 7/3
p = 3/7
Therefore, the solution for p is p = 3/7.
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[tex]\scriptsize{\tt{Hope \: it \: helps \: you!!!}}[/tex]
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