Solve for j. -(1)/(3)=(j)/(4)-(10)/(3)

Isolate variable j: First, we want to isolate the variable j on one side of the equation. To do this, we will move the term -(10)/(3) to the other side by adding (10)/(3) to both sides of the equation. -(1)/(3) + (10)/(3) = (j)/(4) - (10)/(3) + (10)/(3)Combine like terms: Now, we combine the like terms on the left side of the equation. ( -(1)/(3) + (10)/(3) ) = (j)/(4) (9)/(3) = (j)/(4) 3 = (j)/(4)Find value of j: To find the value of j, we need to multiply both sides of the equation by 4. 3 * 4 = (j)/(4) * 4 12 = j

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Solve for $j$ . $\newline$ $-\frac{1}{3}=\frac{j}{4}-\frac{10}{3}$

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Algebra 1

Solve linear equations: mixed review

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Q. Solve for

j

\newline

-\frac{1}{3}=\frac{j}{4}-\frac{10}{3}

Isolate variable j: First, we want to isolate the variable $j$ on one side of the equation. To do this, we will move the term $-\frac{10}{3}$ to the other side by adding $\frac{10}{3}$ to both sides of the equation. $\newline$ $-\frac{1}{3} + \frac{10}{3} = \frac{j}{4} - \frac{10}{3} + \frac{10}{3}$
Combine like terms: Now, we combine the like terms on the left side of the equation. $\newline$ $-\frac{1}{3} + \frac{10}{3}$ = $\frac{j}{4}$ $\newline$ $\frac{9}{3}$ = $\frac{j}{4}$ $\newline$ $3 = \frac{j}{4}$
Find value of $j$ : To find the value of $j$ , we need to multiply both sides of the equation by $4$ . $3 \times 4 = \frac{j}{4} \times 4$ $12 = j$