Solve the following equations by the substitution method x-117-2y-10- 3x-8-y-711

The correct option is B x = 3, y = 4 The equations are ⇒x+117+2y=10⇒ x+11+14y=70 ⇒ x+14y=59 ....eq ( 1 ) ⇒ x=59 14y ⇒ 3x=8+y+711⇒ 33x= ...

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Standard IX

Mathematics

Solving Equations Using Method of Substitution

Solve the fol...

Question

Solve the following equations by the substitution method
$\frac{x + 11}{7} + 2 y = 10, 3 x = 8 + \frac{y + 7}{11}$

x = 1, y = - 2

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x = 8, y = - 7

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x = 9, y = 2

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x = 3, y = 4

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Solution

The correct option is B $x = 3, y = 4$
The equations are
$\Rightarrow \frac{x + 11}{7} + 2 y = 10 \Rightarrow x + 11 + 14 y = 70$
$\Rightarrow x + 14 y = 59 . . . . e q (1)$
$\Rightarrow x = 59 - 14 y$
$\Rightarrow 3 x = 8 + \frac{y + 7}{11} \Rightarrow 33 x = 88 + y + 7$
$\Rightarrow 33 x - y = 95.... e q (2)$
Substitute the value of x in eq (2 )
$\Rightarrow 33 (59 - 14 y) - y = 95$
$\Rightarrow 1947 - 462 y - y = 95 \Rightarrow 463 y = 1853 \Rightarrow y = 4$
$\Rightarrow x = 59 - 14 y \Rightarrow x = 59 - 14 (4) \Rightarrow x = 3$
$\Rightarrow x = 3, y = 4$

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Solve the following equations by the substitution methodx+117+2y=10,3x=8+y+711

The correct option is B x=3,y=4The equations are⇒x+117+2y=10⇒x+11+14y=70⇒x+14y=59....eq(1)⇒x=59−14y⇒3x=8+y+711⇒33x=88+y+7⇒33x−y=95....eq(2)Substitute the value of x in eq (2 )⇒33(59−14y)−y=95⇒1947−462y−y=95⇒463y=1853⇒y=4⇒x=59−14y⇒x=59−14(4)⇒x=3⇒x=3,y=4

Solve the following equations by the substitution method
$\frac{x + 11}{7} + 2 y = 10, 3 x = 8 + \frac{y + 7}{11}$