Question

The value of x for the provided equation displaystyle{1.2}{x}+{3.4}={5.2} and express the solution in decimal form and also check the solution for the equation. Use your calculator whenever you find it helpful. displaystyle{1.2}{x}+{3.4}={5.2}

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ANSWERED
asked 2020-10-20
The value of x for the provided equation \(\displaystyle{1.2}{x}+{3.4}={5.2}\) and express the solution in decimal form and also check the solution for the equation. Use your calculator whenever you find it helpful.
\(\displaystyle{1.2}{x}+{3.4}={5.2}\)

Expert Answers (1)

2020-10-21
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
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