Question

How to solve:
5p + 7 = 19 - 2p​

Answer 1

Answer:

Step-by-step explanation: PLEASE MARK AS THE BRAINLIEST

Answer 2

Answer -

• The value of p = 12/7.

To find -

• The value of p in "5p + 7 = 19 - 2p".

Step-by-step explanation -

$\sf \implies5p + 7 = 19 - 2p$

$\implies \sf 5p + 2p = 19 - 7$

$\implies \sf7p = 12$

$\implies \sf p = \dfrac{12}{7}$

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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 "p" in the equation and see whether LHS = RHS.

LHS :

$\mapsto\: \mathfrak{5p + 7}$

$\mathfrak{ \mapsto \: 5 \times \dfrac{12}{7} + 7}$

$\mapsto \: \mathfrak{ \dfrac{60}{7} + 7}$

$\mapsto \: \mathfrak{ \dfrac{(60 \times 1) + (7 \times 7)}{7}}$

$\mapsto \: \mathfrak{\dfrac{60 + 49}{7}}$

$\mapsto \: \mathfrak{\dfrac{109}{7}}$

RHS :

$\mapsto \: \mathfrak{19 - 2p}$

$\mapsto \: \mathfrak{19 - 2 \times \dfrac{12}{7}}$

$\mapsto \: \mathfrak{19 - \dfrac{24}{7}}$

$\mapsto \: \mathfrak{\dfrac{(19 \times 7) - (24 \times 1)}{7}}$

$\mapsto \: \mathfrak{\dfrac{133 - 24}{7}}$

$\mapsto \: \mathfrak{\dfrac{109}{7}}$

LHS = RHS.

Hence verified!!

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