Solve for j. 2 = j + 5/3 j = _____

Subtract 5/3: To isolate the variable j, we need to subtract 5/3 from both sides of the equation. 2 = j + 5/3 Subtract 5/3 from both sides: 2 - 5/3 = j + 5/3 - 5/3Simplify right side: Now we simplify the right side of the equation by canceling out the 5/3, and on the left side, we need to find a common denominator to subtract 5/3 from 2. 2 - 5/3 = j To subtract fractions from a whole number, we can rewrite 2 as 6/3 to have a common denominator. 6/3 - 5/3 = jFind common denominator: Now we subtract the numerators and keep the denominator the same. (6 - 5)/3 = j 1/3 = j

Home

Math Problems

Grade 8

Solve equations: mixed review

Full solution

Q. Solve for

j

\newline

2 = j + \frac{5}{3}

\newline

j = \_\_\_\_

Subtract $\frac{5}{3}$ : To isolate the variable $j$ , we need to subtract $\frac{5}{3}$ from both sides of the equation. $\newline$ $2 = j + \frac{5}{3}$ $\newline$ Subtract $\frac{5}{3}$ from both sides: $\newline$ $2 - \frac{5}{3} = j + \frac{5}{3} - \frac{5}{3}$
Simplify right side: Now we simplify the right side of the equation by canceling out the $\frac{5}{3}$ , and on the left side, we need to find a common denominator to subtract $\frac{5}{3}$ from $2$ . $\newline$ $2 - \frac{5}{3} = j$ $\newline$ To subtract fractions from a whole number, we can rewrite $2$ as $\frac{6}{3}$ to have a common denominator. $\newline$ $\frac{6}{3} - \frac{5}{3} = j$
Find common denominator: Now we subtract the numerators and keep the denominator the same. $\newline$ $(6 - 5)/3 = j$ $\newline$ $\frac{1}{3} = j$