Translate the sentence into an equation. Twice the difference of a number and 5 is 7 . Use the variable y for the unknown number.

Question

Translate the sentence into an equation. Twice the difference of a number and 5 is 7 . Use the variable  y for the unknown number.

Bytelearn · Accepted Answer

Define Variable: Let's define the variable for the unknown number. We will use y as the variable for the unknown number.Translate into Equation: Now, let's translate the sentence into an equation. The sentence ＂Twice the difference of a number and 5 is 7＂ means we take the number y, subtract 5 from it, and then multiply the result by 2 to get 7. This can be written as 2(y - 5) = 7.Distribute and Simplify: To solve for y, we first distribute the 2 across the parentheses. This means we multiply 2 by each term inside the parentheses: 2 * y and 2 * (-5), which gives us 2y - 10.Isolate Variable: Now we have the equation 2y - 10 = 7. The next step is to isolate y by adding 10 to both sides of the equation to cancel out the -10 on the left side. This gives us 2y = 7 + 10.Solve for Variable: After adding 10 to both sides, we get 2y = 17. Now, we divide both sides by 2 to solve for y. This gives us y = 17 / 2.Finally, we calculate 17 / 2 to get the value of y. The result is y = 8.5.

Translate the sentence into an equation. $\newline$ Twice the difference of a number and $5$ is $7$ . $\newline$ Use the variable $y$ for the unknown number.

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Translate the sentence into an equation. $\newline$ Twice the difference of a number and $5$ is $7$ . $\newline$ Use the variable $y$ for the unknown number.