Question

Solve the equation. 2x+1/3+x-1/4=13/2

Answer 1

The solution of the equation is x = 71 / 36.

How to solve an equation with one variable

Herein we have an equation with several rational constants and only one variable, x, which has to be cleared by using algebra procedures. The procedure is shown below:

2 · x + 1 / 3 + x - 1 / 4 = 13 / 2           Given

2 · x + x = 13 / 2 - 1 / 3 - 1 / 4            Compatibility with addition / Existence of additive inverse / Modulative property

3 · x = 71 / 12                                    Definitions of addition and subtraction / Distributive property

x = 71 / 36                                         Compatibility with multiplication / Existence of multiplicative inverse / Modulative property / Result

The solution of the equation is x = 71 / 36.

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