Approach:

To solve an equation with decimal places, there are two commonly used procedures. One procedure is to keep the numbers in decimal form, then solve the equation by applying the properties. Next procedure is to multiply both sides of the equation by an appropriate power of 10 clear the equation of all decimals.

Calculation:

Consider, \(\displaystyle{1.2}{x}+{3.4}={5.2}\)

\(\displaystyle{1.2}{x}={5.2}-{3.4}\)

\(\displaystyle{1.2}{x}={1.8}\)

\(\displaystyle{x}=\frac{1.8}{{1.2}}\)

\(\displaystyle={1.5}\)

Therefore, check the solution by putting the value of x in the provided equation.

\(\displaystyle{1.2}{x}+{3.4}={5.2}\)

\(\displaystyle{1.2}{\left({1.5}\right)}+{3.4}={5.2}\)

\(\displaystyle{1.8}+{3.4}={5.2}\)

\(\displaystyle{5.2}={5.2}\)

Answer:

Hence, the solution is 1.5

To solve an equation with decimal places, there are two commonly used procedures. One procedure is to keep the numbers in decimal form, then solve the equation by applying the properties. Next procedure is to multiply both sides of the equation by an appropriate power of 10 clear the equation of all decimals.

Calculation:

Consider, \(\displaystyle{1.2}{x}+{3.4}={5.2}\)

\(\displaystyle{1.2}{x}={5.2}-{3.4}\)

\(\displaystyle{1.2}{x}={1.8}\)

\(\displaystyle{x}=\frac{1.8}{{1.2}}\)

\(\displaystyle={1.5}\)

Therefore, check the solution by putting the value of x in the provided equation.

\(\displaystyle{1.2}{x}+{3.4}={5.2}\)

\(\displaystyle{1.2}{\left({1.5}\right)}+{3.4}={5.2}\)

\(\displaystyle{1.8}+{3.4}={5.2}\)

\(\displaystyle{5.2}={5.2}\)

Answer:

Hence, the solution is 1.5