Which value of x satisfies the equation (1)/(5)(x-(2)/(5))=-(17)/(25) ? 3 -4 -3 4

Write Equation: Write down the equation to be solved. (1/5)(x - (2/5)) = -(17/25)Eliminate Fractions: Multiply both sides of the equation by 5 to eliminate the fraction on the left side. 5 * (1/5)(x - (2/5)) = 5 * -(17/25) x - (2/5) = -(17/5)Multiply and Add: Multiply the fraction (2/5) by 5 to eliminate the fraction. 5 * (2/5) = 2Combine Fractions: Add 2 to both sides of the equation to isolate x. x - (2/5) + 2 = -(17/5) + 2 x = -(17/5) + (10/5)Convert Improper Fraction: Combine the fractions on the right side of the equation. x = -(17/5) + (10/5) x = -(7/5)Check Possible Answers: Convert the improper fraction to a mixed number or a whole number if possible. -(7/5) is an improper fraction and cannot be simplified to a whole number.Check the possible answers to see which one is equal to -(7/5). -3 is equal to -(15/5), which is not equal to -(7/5). -4 is equal to -(20/5), which is not equal to -(7/5). 3 is equal to 15/5, which is not equal to -(7/5). 4 is equal to 20/5, which is not equal to -(7/5). None of the provided options are equal to -(7/5).

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Which value of
x satisfies the equation
(1)/(5)(x-(2)/(5))=-(17)/(25) ?
3

-4

-3
4

Which value of $x$ satisfies the equation $\frac{1}{5}\left(x-\frac{2}{5}\right)=-\frac{17}{25}$ ? $\newline$ $3$ $\newline$ $-4$ $\newline$ $-3$ $\newline$ $4$

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Math Problems

Algebra 1

Evaluate integers raised to rational exponents

Full solution

Q. Which value of

x

satisfies the equation

\frac{1}{5}\left(x-\frac{2}{5}\right)=-\frac{17}{25}

\newline

3

\newline

-4

\newline

-3

\newline

4

Write Equation: Write down the equation to be solved. $\newline$ $(\frac{1}{5})(x - (\frac{2}{5})) = -(\frac{17}{25})$
Eliminate Fractions: Multiply both sides of the equation by $5$ to eliminate the fraction on the left side. $\newline$ $5 \times \left(\frac{1}{5}\right)(x - \frac{2}{5}) = 5 \times -\left(\frac{17}{25}\right)$ $\newline$ $x - \frac{2}{5} = -\frac{17}{5}$
Multiply and Add: Multiply the fraction $(\frac{2}{5})$ by $5$ to eliminate the fraction. $\newline$ $5 \times (\frac{2}{5}) = 2$
Combine Fractions: Add $2$ to both sides of the equation to isolate $x$ . $\newline$ $x - \frac{2}{5} + 2 = -\frac{17}{5} + 2$ $\newline$ $x = -\frac{17}{5} + \frac{10}{5}$
Convert Improper Fraction: Combine the fractions on the right side of the equation. $\newline$ $x = -(\frac{17}{5}) + (\frac{10}{5})$ $\newline$ $x = -(\frac{7}{5})$
Check Possible Answers: Convert the improper fraction to a mixed number or a whole number if possible. $\newline$ $-(\frac{7}{5})$ is an improper fraction and cannot be simplified to a whole number.
Check Possible Answers: Convert the improper fraction to a mixed number or a whole number if possible. $\newline$ $-(\frac{7}{5})$ is an improper fraction and cannot be simplified to a whole number.Check the possible answers to see which one is equal to $-(\frac{7}{5})$ . $\newline$ $-3$ is equal to $-(\frac{15}{5})$ , which is not equal to $-(\frac{7}{5})$ . $\newline$ $-4$ is equal to $-(\frac{20}{5})$ , which is not equal to $-(\frac{7}{5})$ . $\newline$ $3$ is equal to $\frac{15}{5}$ , which is not equal to $-(\frac{7}{5})$ . $\newline$ $-(\frac{7}{5})$ $1$ is equal to $-(\frac{7}{5})$ $2$ , which is not equal to $-(\frac{7}{5})$ . $\newline$ None of the provided options are equal to $-(\frac{7}{5})$ .