Solve for k. {:[(5k-2)/(3k)=7],[k=]:}

Set up equation: Set up the equation from the given problem. (5k - 2) / (3k) = 7Multiply by 3k: Multiply both sides of the equation by 3k to eliminate the denominator. 3k * ((5k - 2) / (3k)) = 3k * 7Simplify equation: Simplify both sides of the equation. 5k - 2 = 21kSubtract 5k: Subtract 5k from both sides to get all k terms on one side. 5k - 5k - 2 = 21k - 5kCombine like terms: Simplify the equation by combining like terms. -2 = 16kDivide by 16: Divide both sides by 16 to solve for k. k = -2 / 16Simplify fraction: Simplify the fraction to find the value of k. k = -1 / 8

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Math Problems

Grade 6

Multiply two decimals: where does the decimal point go?

Full solution

Q. Solve for

k

\newline

\begin{array}{l} \frac{5 k-2}{3 k}=7 \\ k= \end{array}

Set up equation: Set up the equation from the given problem. $\newline$ $(5k - 2) / (3k) = 7$
Multiply by $3k$ : Multiply both sides of the equation by $3k$ to eliminate the denominator. $\newline$ $3k \times \left(\frac{5k - 2}{3k}\right) = 3k \times 7$
Simplify equation: Simplify both sides of the equation. $5k - 2 = 21k$
Subtract $5k$ : Subtract $5k$ from both sides to get all $k$ terms on one side. $\newline$ $5k - 5k - 2 = 21k - 5k$
Combine like terms: Simplify the equation by combining like terms. $-2 = 16k$
Divide by $16$ : Divide both sides by $16$ to solve for $k$ . $k = \frac{-2}{16}$
Simplify fraction: Simplify the fraction to find the value of $k$ . $k = -\frac{1}{8}$