Solve the following problem. Give the equation using x as the variable, and give the answer.If 4 is added to five times a number, the result is equal to 7 more than four times the number. Find thenumber.Write the equation using x as the variable. Choose the correct equation below.O A. 4(5x) = 7(4x)O B. 5(x + 4) = 4(x + 7)O C. 5x + 4 = 7(4x)OD. 5x + 4 = 4x + 7O E. 4(5x) = 4x + 7The number is

Question

25-10-2022
Mathematics

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Solve the following problem. Give the equation using x as the variable, and give the answer.If 4 is added to five times a number, the result is equal to 7 more than four times the number. Find thenumber.Write the equation using x as the variable. Choose the correct equation below.O A. 4(5x) = 7(4x)O B. 5(x + 4) = 4(x + 7)O C. 5x + 4 = 7(4x)OD. 5x + 4 = 4x + 7O E. 4(5x) = 4x + 7The number is

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MaebyO501008 MaebyO501008 · Answer 1 · 2022-10-25T18:08:11+02:00

Answer

[tex]\begin{gathered} D. \\ 5x+4=4x+7 \\ \text{The number is 3} \end{gathered}[/tex]

Explanation

The variable given is x

Five times the variable is 5x

When 4 is added, the expression becomes 5x + 4, which gives the Left Hand Side of the equation.

For the Right Hand Side, four times the number is 4x

7 more than 4x is 4x + 7

Since the result on the Left Hand Side = Right Hand Side, then the required equation is

[tex]5x+4=4x+7[/tex]

Now, to find the number x, we shall solve the above equation as follows

[tex]\begin{gathered} 5x+4=4x+7 \\ \text{Substract 4 from both sides} \\ 5x+4-4=4x+7-4 \\ 5x=4x+3 \\ \text{Substract 4x from both sides} \\ 5x-4x=4x+3-4x \\ x=3 \end{gathered}[/tex]