Question

10p — (3p—4) =4(p+1)+9 solve the equation and check the answer

Answer 1

hlw mate....

10 - 3p + 4 = 4p + 4 + 9
-3p -4p = 13 -10 -4
-7 p. = 13 -14
-7p. = -1
7p. = 1
p = 1 / 7

Check:
L.H.S. =10 - 3 *1/7 + 4
= 14 - 3/ 7
= (98 -3 ) /7 = 95 /7

R.HS. = 4*1/7 +4+9
= 4 /7 +13
= (91 +4)/7 = 95 /7

hope it heps u.
mark me brainliest.

Answer 2

$10 - (3p - 4) = 4( p + 1) + 9 \\ \\ 10 - 3p + 4 = 4p + 4 + 9 \\ \\ 14 - 3p = 4p + 13 \\ \\ 14 - 13 = 4p + 3p \\ \\ 7p = 1 \\ \\ p = \frac{1}{7} \\ \\ \bf \: let \: us \: now \: check \: if \: the \: value \: \\ \bf \: of \: p \: is \: right \\ \\ 10 - (3( \frac{1}{7}) - 4) = 4( \frac{1}{7} + 1) + 9$

$10 - \frac{3}{7} + 4 = \frac{4}{7} + 4 + 9 \\ \\ 14 - \frac{3}{7} = \frac{4}{7} + 13 \\ \\ \frac{14 \times 7 - 3}{7} = \frac{4 + 13 \times 7}{7} \\ \\ \frac{98 - 3}{7} = \frac{4 + 91}{7} \\ \\ \frac{95}{7} = \frac{95}{7}$

Hence, our calculation was correct.

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