Question

solve the following equation and check your answer 10-(3p-4)=4(p+1)+9​

Answer 1

10-(3p-4)=4(p+1)+9

10-3p+4=4p+4+9

-3p+14=4p+13

-3p-4p=13-14

-7p=-1

p=1/7

Now put the value of p in the given equation

$10 -( \frac{3}{7} - 4) = 4( \frac{1}{7} + 1) + 9 \\ 10 - ( \frac{3 - 28}{7} ) = 4( \frac{1 + 7}{7} ) + 9 \\ 10 + \frac{25}{7} = \frac{32}{7} + 9 \\ \frac{70 + 25}{7} = \frac{32 + 63}{7} \\ \frac{95}{7} = \frac{95}{7}$

LHS=RHS

Hence Verified

Answer 2

Aɴꜱᴡᴇʀ

$\huge{P=\frac{-27}{6}}$

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Gɪᴠᴇɴ

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

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Tᴏ ꜰɪɴᴅ

The value of P

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Sᴛᴇᴘꜱ

$\sf{10 - (3p - 4) = 4(p + 1) + 9} \\ \sf{}30p + 40 = 4p + 4 + 9 \\ \sf{}30p - 4p = 13 - 40 \\ \sf{}26p = - 27 \\ \sf{}p = \frac{ - 27}{26}$

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$\huge{\mathfrak{\purple{hope\; it \;helps}}}$