Question

Solve the following linear equations.
1. x/2-1/5=x/3+1/4
2.n/2-3n/4+5n/6=21
3.x+7-8x/3=17/6-5x/2​

Answer 1

Answer:

x/2 - 1/5 = x/3 + 1/4

Multiply both sides by the LCM of the denominators to get rid of fractional denominator.

Now transpose variables to one side and constants to another side to form a linear equation.

x/2 - 1/5 = x/3 + 1/4

LCM of the denominators is 60

Multiply the LCM on both sides

⇒ 60(x/2 - 1/5) = 60(x/3 + 1/4)

⇒ 30x - 12 = 20x + 15

⇒ 30x - 20x = 15 + 12

⇒ 10x = 27

Therefore,

x = 27/10 = 2/7

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Step-by-step explanation:

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