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4.7k views
in Linear Equations by (56.3k points)

Solve the equation and also check your results:

7x/2 – 5x/2 = 20x/3 + 10

1 Answer

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Best answer

7x/2 – 5x/2 = 20x/3 + 10

Let us rearrange the equation

7x/2 – 5x/2 – 20x/3 = 10

By taking LCM for 2 and 3 is 6

(21x – 15x – 40x)/6 = 10

-34x/6 = 10

By cross-multiplying

-34x = 60

x = 60/-34

= -30/17

Let us verify the given equation now,

7x/2 – 5x/2 = 20x/3 + 10

By substituting the value of ‘x’ we get,

(7-/2)(-30/17) – (5/2)(-30/17) = (20/3)(-30/17) + 10

-210/34 +150/34 = -600/51 + 10

-30/17 = (-600+510)/51

= -90/51

-30/17 = -30/17

Hence, the given equation is verified.

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