5-2 x -7-2 x -56-2 x- find -a- when 2 a -3-3 x -4-1A- 43 - 8B- -51 - 8C- 30 - 7D- -26 - 7

The correct option is B 51/8 5/2x+7/2x=56 2x ⇒5/2x+7/2x+2x=56 ⇒5x+7x+4x/2=56 ⇒ 16x=56×2 ⇒ x=56×2/16=7 Now, 2a/3=1 3x/4 ⇒2a/3=1 3×7/4 ⇒2a/3=4 21/4= 17/4 ⇒ 8a ...

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Byju's Answer

Standard VII

Mathematics

Algebraic Equation

5/2 x +7/2 x ...

Question

$\frac{5}{2} x + \frac{7}{2} x = 56 - 2 x, find 'a' when \frac{2 a}{3} + \frac{3 x}{4} = 1$

-51/8

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43/8

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30/7

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-26/7

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Solution

The correct option is A
-51/8

$\frac{5}{2} x + \frac{7}{2} x = 56 - 2 x \Rightarrow \frac{5}{2} x + \frac{7}{2} x + 2 x = 56 \Rightarrow \frac{5 x + 7 x + 4 x}{2} = 56 \Rightarrow 16 x = 56 \times 2 \Rightarrow x = \frac{56 \times 2}{16} = 7 N o w, \frac{2 a}{3} = 1 - \frac{3 x}{4} \Rightarrow \frac{2 a}{3} = 1 - \frac{3 \times 7}{4} \Rightarrow \frac{2 a}{3} = \frac{4 - 21}{4} = - \frac{17}{4} \Rightarrow 8 a = - 51 \Rightarrow a = \frac{- 51}{8}$

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52x+72x=56−2x, find 'a' when 2a3+3x4=1

The correct option is A -51/8 52x+72x=56−2x⇒52x+72x+2x=56⇒5x+7x+4x2=56⇒16x=56×2⇒x=56×216=7Now, 2a3=1−3x4⇒2a3=1−3×74⇒2a3=4−214=−174⇒8a=−51⇒a=−518

$\frac{5}{2} x + \frac{7}{2} x = 56 - 2 x, find 'a' when \frac{2 a}{3} + \frac{3 x}{4} = 1$