Solve the following pair of linear equations by the elimination method and the subsitution method:
$3 x - 5 y - 4 = 0$ and $9 x = 2 y + 7$

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Solution

$3 (3 x - 5 y = 4) \Rightarrow 9 x - 15 y = 12$

$9 x - 2 y = 7$ $\Rightarrow 9 x - 2 y = 7$
___________
$- 13 y = 5$

$y = \frac{- 5}{13}$

$x = \frac{- 10 / 13 + 7}{9} = \frac{9}{13}$

Substitution method

$3 x = 5 y + 4$

$3. (5 y + 4) = 2 y + 7$ $\Rightarrow 15 y + 12 = 2 y + 7$

$\Rightarrow 13 y = - 5 \Rightarrow y = \frac{- 5}{13}$

$x = \frac{- 10 / 13 + 7}{9} = \frac{9}{13}$

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Question 1 (iii)
Solve the following pair of linear equations by the elimination method and the substitution method:
3x - 5y - 4 = 0 and 9x = 2y + 7

Solve the following pair of equations by the elimination method and the substitution method:

3 x - 5 y - 4 = 0

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9 x = 2 y + 7

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8 x + 5 y = 9

3 x + 2 y = 4

$3 x - 5 y = 4$
$9 x = 2 y + 7$

Solve the above equations by elimination method.

Solve the following pair of linear equations by the elimination method and the substitution method :

(i) x+y=5 and 2x−3y=4
(ii) 3x+4y=10 and 2x−2y=2
(iii) 3x−5y−4=0 and 9x=2y+7
(iv) x2+2y3=−1 and x−y3=3

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Solve the following pair of linear equations by the elimination method and the subsitution method: 3x−5y−4=0 and 9x=2y+7

3(3x−5y=4)⇒9x−15y=12 9x−2y=7 ⇒9x−2y=7 ___________ −13y=5 y=−513 x=−10/13+79=913Substitution method 3x=5y+43.(5y+4)=2y+7 ⇒15y+12=2y+7 ⇒13y=−5⇒y=−513x=−10/13+79=913

Solve the following pair of linear equations by the elimination method and the subsitution method:
$3 x - 5 y - 4 = 0$ and $9 x = 2 y + 7$