(2)/(7)x+(11)/(7)x=(3)/(5) Given the equation, what is the value of 13 x ?

Combine like terms: Combine like terms on the left side of the equation. We have (2/7)x + (11/7)x, which are like terms because they both have the variable x. To combine them, we add their coefficients. (2/7)x + (11/7)x = (2/7 + 11/7)x = (13/7)xSet equal to right side: Set the combined expression equal to the right side of the equation. Now we have (13/7)x = (3/5).Multiply by reciprocal: Solve for x by multiplying both sides of the equation by the reciprocal of (13/7). To isolate x, we multiply both sides by 7/13. x = (3/5) * (7/13)Calculate value of 13x: Perform the multiplication to solve for x. x = (3 * 7) / (5 * 13) x = 21 / 65Simplify expression for 13x: Calculate the value of 13x. To find 13x, we multiply x by 13. 13x = 13 * (21 / 65)Simplify the fraction: Simplify the expression for 13x. 13x = (13 * 21) / 65 13x = 273 / 65Simplify the fraction if possible. 273 and 65 have no common factors other than 1, so the fraction is already in its simplest form. 13x = 273 / 65

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Math Problems

Algebra 1

Add and subtract rational numbers

Full solution

\frac{2}{7} x+\frac{11}{7} x=\frac{3}{5}

\newline

Given the equation, what is the value of

13 x

Combine like terms: Combine like terms on the left side of the equation. $\newline$ We have $(\frac{2}{7})x + (\frac{11}{7})x$ , which are like terms because they both have the variable $x$ . To combine them, we add their coefficients. $\newline$ $(\frac{2}{7})x + (\frac{11}{7})x = (\frac{2}{7} + \frac{11}{7})x$ $\newline$ = $(\frac{13}{7})x$
Set equal to right side: Set the combined expression equal to the right side of the equation. $\newline$ Now we have $(\frac{13}{7})x = (\frac{3}{5})$ .
Multiply by reciprocal: Solve for $x$ by multiplying both sides of the equation by the reciprocal of $(13/7)$ . To isolate $x$ , we multiply both sides by $7/13$ . $x = (3/5) \times (7/13)$
Calculate value of $13x$ : Perform the multiplication to solve for $x$ . $\newline$ $x = \frac{(3 \times 7)}{(5 \times 13)}$ $\newline$ $x = \frac{21}{65}$
Simplify expression for $13x$ : Calculate the value of $13x$ . To find $13x$ , we multiply $x$ by $13$ . $13x = 13 \times \left(\frac{21}{65}\right)$
Simplify the fraction: Simplify the expression for $13x$ . $\newline$ $13x = \frac{(13 \times 21)}{65}$ $\newline$ $13x = \frac{273}{65}$
Simplify the fraction: Simplify the expression for $13x$ .
$13x = (13 \times 21) / 65$
$13x = 273 / 65$ Simplify the fraction if possible.
$273$ and $65$ have no common factors other than $1$ , so the fraction is already in its simplest form.
$13x = 273 / 65$