Question

Solve the following equations
(a) x + 9 = 15
(b) y - 6 = 9
(c) 8x = 24
(d) x/5 = 4
(e) 6 - y = 9

Class - VI
LINEAR EQUATIONS

Answer 1

Solutions :-

(a) x + 9 = 15
=> x = 15 - 9 = 6

Verification :
6 + 9 = 15
=> 15 = 15 ✔

(b) y - 6 = 9
=> y = 9 + 6 = 15

Verification :
15 - 6 = 9
=> 9 = 9 ✔

(c) 8x = 24
=> x = 24/8 = 3

Verification :
8 × 3 = 24
=> 24 = 24 ✔

(d) x/5 = 4
=> x = 4 × 5 = 20

Verification :
20/5 = 4
=> 4 = 4 ✔

(e) 6 - y = 9
=> - y = 9 - 6
=> - y = 3
=> y = - 3

Verification :
6 - (-3) = 9
=> 6 + 3 = 9
=> 9 = 9 ✔

Answer 2

SOLUTION :

(a) x + 9 = 15

⇒ x + 9 - 9 = 15 - 9 [ adding -9 to both sides ]

⇒ x = 6

∴ x = 6 is the solution of the given equation (x + 9 = 15)

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(b) y - 6 = 9

⇒ y - 6 + 6 = 9 + 6 [ adding 6 to both sides ]

⇒ y = 15

∴ y = 15 is the solution for the given equation (y - 6 = 9)

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(c) 8x = 24

⇒ $\bf { \frac{8x}{8} }$ = $\bf { \frac{24}{8} }$  [ Divide both sides by 8 ]

⇒ x = 3

∴ x = 3 is the solution of the equation (8x = 24)

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(d) x/5 = 4

⇒ $\bf { \frac{x}{5} \times 5 }$ = 4 × 5 [Multiply both sides by 5 ]

⇒ x = 20

∴ x = 20 is the solution of the given equation (x/5 = 4)

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(e) 6 - y = 9

⇒ -y + 6 = 9

⇒ -y + 6 - 6 = 9 - 6  [ adding -6 to both sides ]

⇒ -y = 3

⇒ y = -3

∴ y = -3 is the solution of the given equation (6 - y = 9)

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