# Find the solution of the equation rounded to two decimals. frac{1.73x}{2.12+x}=1.51

Question
Decimals
Find the solution of the equation rounded to two decimals. $$\displaystyle{\frac{{{1.73}{x}}}{{{2.12}+{x}}}}={1.51}$$

2021-02-06
Calculation: Simplify the given equation by multiplying $$\displaystyle{\left({2.12}+{x}\right)}$$ on both side of the equation as, $$\displaystyle{\frac{{{1.73}{x}}}{{{2.12}+{x}}}}\cdot{\left({2.12}+{x}\right)}={1.51}\cdot{\left({2.12}+{x}\right)}$$
$$\displaystyle{1.73}{x}={3.2012}+{1.51}{x}$$ Now, substract 1.51x on both sides of the above equation as, $$\displaystyle{1.73}{x}-{1.51}{x}={3.2012}+{1.51}{x}-{1.51}{x}$$
$$\displaystyle{0.22}{x}={3.2012}$$ Now divide by 0.22 on both sides of the above equation as, $$\displaystyle{\frac{{{0.22}{x}}}{{{0.22}}}}={\frac{{{3.2012}}}{{{0.22}}}}$$
$$\displaystyle{x}={\frac{{{3.2012}}}{{{0.22}}}}$$ Simplify the expression to two decimal places by use of calculator to obtain the value of x. $$\displaystyle{x}={\frac{{{3.2012}}}{{{0.22}}}}$$
$$\displaystyle{x}={14.550909}$$
$$\displaystyle{x}\approx{14.55}$$ Therefore, the two decimal approximated solution of the given equation is $$\displaystyle{x}={14.55}$$ Answer: The solution of the equation $$\displaystyle{\frac{{{1.73}{x}}}{{{2.12}+{x}}}}={1.51}$$ for value of x rounded off to two decimals is 14.55.

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