Answered

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i need to know the solution to the equation x/2 + 2x/3 =5

Sagot :

We have to solve the equation:

[tex]\frac{x}{2}+\frac{2x}{3}=5[/tex]

We can solve this by looking for a common denominator for the terms that have x. In this case, the common denominator is 6, so we can solve this as:

[tex]\begin{gathered} \frac{x}{2}+\frac{2x}{3}=5 \\ \frac{x}{2}\cdot\frac{3}{3}+\frac{2x}{3}\cdot\frac{2}{2}=5 \\ \frac{3x}{6}+\frac{4x}{6}=5 \\ \frac{3x+4x}{6}=5 \\ \frac{7x}{6}=5 \\ x=5\cdot\frac{6}{7} \\ x=\frac{30}{7} \end{gathered}[/tex]

Answer: the solution is x = 30/7

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