Question

10p-(3p-4)=4(p+1)+9
find the value of p
​

Answer 1

Answer:

$10p-\left(3p-4\right)=4\left(p+1\right)+9\quad :\quad p=3$

Step-by-step explanation:

$10p-\left(3p-4\right)=4\left(p+1\right)+9$

$7p+4=4p+13$

$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$

$7p+4-4=4p+13-4$

$7p=4p+9$

$\mathrm{Subtract\:}4p\mathrm{\:from\:both\:sides}$

$7p-4p=4p+9-4p$

$3p=9$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3p}{3}=\frac{9}{3}$

$p=3$

Answer 2

Answer :-

• The value of p is 3.

Step-by-step explanation :-

$\longrightarrow \sf 10p - (3p - 4) = 4(p + 1) + 9$

$\longrightarrow\sf10p - (3p - 4) = 4p + 4 + 9$

$\longrightarrow\sf 10p - 3p - 4 = 4p + 4 + 9$

$\longrightarrow\sf 7p - 4 = 4p + 4 + 9$

$\longrightarrow\sf 7p = 4p + 9$

$\longrightarrow \sf 3p = 9$

$\longrightarrow\sf p = \cancel{\dfrac{9}{3}}$

$\longrightarrow\sf p = 3$

Thus -

• The value of p is 3.

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V E R I F I C A T I O N -

• To check our answer, let's substitute the value of "x" in the equation and see whether LHS = RHS.

LHS :

$\longrightarrow$ 10p - (3p - 4)

$\longrightarrow$ 10 × 3 - (3 × 3 - 4)

$\longrightarrow$ 30 - (9 - 4)

$\longrightarrow$ 30 - 5

$\longrightarrow$ 25

RHS :

$\longrightarrow$ 4 (p + 1) + 9

$\longrightarrow$ 4 (3 + 1) + 9

$\longrightarrow$ 4 (4) + 9

$\longrightarrow$ 4 × 4 + 9

$\longrightarrow$ 16 + 9

$\longrightarrow$ 25

LHS = RHS

Hence verified!!

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