Solve - 4-3x-5-7-x-3-41-3-0 Hence find the value of -p- if 3p-2x-1-0

⇒ 4 3x/5+7 x/3+41/3=0 ⇒ 4 3x/5+7 x/3+13/3=0 12 9x+35 5x+65=0/15 (L.C.M. of 5, 3, 3 = 15 ) 14x+112=0 ⇒ 14x= 112 ⇒ x= 112/ 14 =8 Hence x = 8 Now ,3p 2x+1=0 ⇒ ...

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Standard VIII

Mathematics

Reducing Equations to Simpler Form

Solve : 4-3x/...

Question

Solve : $\frac{4 - 3 x}{5} + \frac{7 - x}{3} + 4 \frac{1}{3} = 0$ Hence find the value of 'p' if $3 p - 2 x + 1 = 0$

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Solution

$\Rightarrow \frac{4 - 3 x}{5} + \frac{7 - x}{3} + 4 \frac{1}{3} = 0 \Rightarrow \frac{4 - 3 x}{5} + \frac{7 - x}{3} + \frac{13}{3} = 0 \frac{12 - 9 x + 35 - 5 x + 65 = 0}{15} (L.C.M. of 5, 3, 3 = 15) - 14 x + 112 = 0 \Rightarrow - 14 x = - 112 \Rightarrow x = \frac{- 112}{- 14} = 8 Hence x = 8 Now, 3 p - 2 x + 1 = 0 \Rightarrow 3 p - 2 \times 8 + 1 = 0 \Rightarrow 3 p - 16 + 1 = 0 \Rightarrow 3 p - 15 = 0 \Rightarrow 3 p = 15 \Rightarrow p = \frac{15}{3} = 5 ∵ x = 8, p = 5$

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Similar questions

\frac{4 - 3 x}{5} + \frac{7 - x}{3} + 4 \frac{1}{3} = 0

Hence, find the value of

p

, if

3 p - 2 x + 1 = 0.

Q. Solve:

4 \frac{1}{3} - \frac{3 x - 4}{5} = \frac{x - 7}{3}

.
Hence, find a if

\frac{1}{x} + a = 1

Q. Find the value of 'P', if the polynomial

p (x) = x^{4} - {2 x}^{3} + {3 x}^{2} - p x + 3 p - 7

and

p (2) = 5

Q. Solve

2 x - \frac{3}{y} = 9, 3 x + \frac{7}{y} = 2

Hence find the value of

k

, if

x = k y + 5

Q. If

A = ⎡ ⎢ ⎣ \begin{matrix} 3 & 1 & 2 3 & 2 & - 3 2 & 0 & - 1 \end{matrix} ⎤ ⎥ ⎦

, find

A^{- 1}

Hence, solve the system of equation:

3 x + 3 y + 2 z = 1

x + 2 y = 4

2 x - 3 y - z = 5

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Solve : 4−3x5+7−x3+413=0 Hence find the value of 'p' if 3p−2x+1=0

⇒ 4−3x5+7−x3+413=0⇒ 4−3x5+7−x3+133=012−9x+35−5x+65=015 (L.C.M. of 5, 3, 3 = 15)−14x+112=0⇒ −14x=−112⇒ x=−112−14=8Hence x = 8Now ,3p−2x+1=0⇒ 3p−2×8+1=0⇒ 3p−16+1=0⇒ 3p−15=0⇒ 3p=15⇒ p=153=5∵ x=8,p=5

Solve : $\frac{4 - 3 x}{5} + \frac{7 - x}{3} + 4 \frac{1}{3} = 0$ Hence find the value of 'p' if $3 p - 2 x + 1 = 0$