Question

............solve all this........
...................​

Answer 1

$\huge⭐{\underline{\red{A}{\orange{N}}{\pink{S}}{\blue{W}}{\purple{E}}{\green{R\:}}}}}$

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➤ 1. solve the equations and check your solution :

( i ) 7 ( x - 5 ) = 63

➜ 7x - 35 = 63

➜ 7x = 63 - 35 ( after transporting 35)

➜ 7x = 28

➜ x = ${\frac{28}{7}}$

➜ $\large{\boxed{X\:=\:4}}$

Answer 2

$\huge\mathfrak{\underbrace{Answer}}$

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I) 7 ( x - 5 ) = 63

➜ 7x - 35 = 63

➜ 7x = 63 + 35

➜ X = $\large{\frac{98}{7}}$

➜ $\huge\mathfrak{\boxed{\underbrace{X\:=\:14}}}$

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ii) 3x = 22 + 5x

➜ 3x - 5x = 22

➜ - 2x = 22

➜ - x = $\large{\frac{22}{2}}$

➜ $\huge\mathfrak{\boxed{\underbrace{x\:=\:11}}}$

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iii) 5x - 8 = 2x + 7

➜ 5x = 2x + 7 + 8

➜ 3x = 15

➜ x = $\large{\frac{15}{3}}$

➜ $\huge\mathfrak{\boxed{\underbrace{X\:=\:5}}}$

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iv) 5 ( x + 3 ) + 3 = 43

➜ 5x + 15 + 3 = 43

➜ 5x + 18 = 43

➜ X = $\large{\frac{25}{5}}$

➜ $\huge\mathfrak{\boxed{\underbrace{X\:=\:5}}}$

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v) 10x - 6 = 28 - 7x

➜ 10x + 7x = 28 + 6

➜ 17x = 34

➜ X = $\large{\frac{34}{17}}$

➜ $\huge\mathfrak{\boxed{\underbrace{X\:=\:2}}}$

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vi) 2 (3y + 4 ) = 5 ( y + 43 )

➜ 6y + 8 = 5y + 215

➜ 6y - 5y = 215 - 8

➜ $\huge\mathfrak{\boxed{\underbrace{x\:=\:207}}}$

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vii) $\large{\frac{2x}{5}}$ - $\large{\frac{3}{10}}$ = $\large{\frac{3x}{4}}$

➜ $\large{\frac{2x}{5}}$ - $\large{\frac{3x}{4}}$ = $\large{\frac{3}{10}}$

➜ $\large{\frac{8x-15x}{20}}$ = $\large{\frac{3}{10}}$

➜ - 7x = $\large{\frac{60}{10}}$ = 6

➜ $\huge{\boxed{\frac{-6}{7}}}$

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viii) $\large{\frac{x}{4}}$ - $\large{\frac{x}{5}}$

➜ $\large{\frac{5x-4x}{20}}$ = 3

➜ $\large{\frac{x}{20}}$ = 3

➜ $\huge\mathfrak{\boxed{\underbrace{x\:=\:60}}}$

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ix ) $\large{\frac{x}{3}}$ - 4 = 1 - x

➜ x - 4 = 1 - 3x

➜ x + 3x = 5

➜ 4x = 5

➜ $\huge{\boxed{\frac{5}{4}}}$

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x ) x + 14 = 5 ( x - 10 )

➜ x + 14 = 5x - 50

➜ x - 5x = - 50 - 14

➜ 4x = 64

➜ x = $\large{\frac{64}{4}}$

➜ $\huge\mathfrak{\boxed{\underbrace{x\:=\:16}}}$

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