Question

Solve the simple linear equations

Answer 1

1] x / 2 + x = 9

Multiply both the sides by 2

∴ x + 2x = 18

Calculate

∴ 3x = 18

Divide both the sides by 3

∴ x = 6


∴ The value of x is $\boxed{\boxed{\textsf{6}}}$



3] 3x / 4 + 4x = 38

Multiply both the sides by 4

∴ 3x + 16x = 152

Calculate

∴ 19x = 152

Divide both the sides by 19

∴ x = 8


∴ The value of x is $\boxed{\boxed{\textsf{8}}}$



5] x / 3 - x / 4 = 2

Multiply both the sides by 12, because 4 × 3 is 12 (Multiplication of denominators)

➾ 4x - 3x = 24

➾ x = 24


∴ The value of x is $\boxed{\boxed{\textsf{24}}}$

Answer 2

SOLUTION:-




$1) \frac{x}{2} + x = 9$




$= > \frac{x + 2x}{2} = 9$




$= > \frac{3x}{2} = 9$




$= > 3x = 9 \times 2$




$= > 3x = 18$




$= > x = \frac{18}{3}$




$= > x = 6$






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$2) \: \frac{3x}{4} + 4x = 38$




$= > \frac{3x + 16x}{4} = 38$





$= > \frac{19x}{4} = 38$





$= > 19x = 38 \times 4$




$= > x = \frac{38 \times 4}{19}$





$= > x = 8$







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$3) \: \frac{x}{3} - \frac{x}{4} = 2$




$= > \frac{4x - 3x}{12} = 2$





$= > \frac{x}{12} = 2$






$= > x = 2 \times 12$





$= > x = 24$

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