Solve and check the linear equation.
$27 - \frac{x}{4} = \frac{x}{5}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is (Type an integer or a simplified fraction.)
B. The solution set is ${x ∣ x$ is a real number $}$ .
C. The solution set is $\emptyset$ .

Answer

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Answer

Final Answer: The solution set is $60$ .

Steps

Step 1 ：Multiply every term by 20 to get rid of the fractions: $20 (27 - \frac{x}{4}) = 20 (\frac{x}{5})$ , which simplifies to $540 - 5 x = 4 x$ .

Step 2 ：Move all terms involving x to one side and constant terms to the other side: $540 = 9 x$ .

Step 3 ：Simplify the equation and solve for x: $x = \frac{540}{9} = 60$ .

Step 4 ：Check the solution by substituting x = 60 back into the original equation: $27 - \frac{60}{4} = \frac{60}{5}$ , which simplifies to $27 - 15 = 12$ , and since both sides of the equation are equal, the solution is correct.

Step 5 ：Final Answer: The solution set is $60$ .

Solve and check the linear equation.27−x4=x5Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set is (Type an integer or a simplified fraction.)B. The solution set is {x∣x is a real number }.C. The solution set is ∅.

Answer

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