5x + 9 = 5 + 3x ⇒ 5x 3x =5 9 ⇒ 2x = 4 ⇒ x = 4/2= 2 To check, 5x +9 =5 +3x ⇒ 5 × ( 2)+9=5+3 × ( 2) ⇒ 10+9=5 6 ⇒ 1 = 1 ⇒ L.H.S. =R.H.S. Hence, it is correct. ...

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Standard X

Mathematics

Relationship between LCM and GCD

Question 3

Question

Question 3
5x + 9 = 5 + 3x

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Solution

5x + 9 = 5 + 3x
$\Rightarrow 5 x - 3 x = 5 - 9$
$\Rightarrow 2 x = - 4$
$\Rightarrow x = \frac{- 4}{2} = - 2$
To check,
$5 x + 9 = 5 + 3 x \Rightarrow 5 \times (- 2) + 9 = 5 + 3 \times (- 2)$
$\Rightarrow - 10 + 9 = 5 - 6 \Rightarrow - 1 = - 1$
$\Rightarrow L . H . S . = R . H . S$ .
Hence, it is correct.

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Relationship between LCM and GCD

Standard X Mathematics

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Question 3 5x + 9 = 5 + 3x

5x + 9 = 5 + 3x ⇒5x−3x=5−9 ⇒2x=−4 ⇒x=−42=−2 To check, 5x+9=5+3x⇒5×(−2)+9=5+3×(−2) ⇒−10+9=5−6⇒−1=−1 ⇒L.H.S.=R.H.S. Hence, it is correct.

Question 3
5x + 9 = 5 + 3x