Solve for m. (m)/(9)+(2)/(3)=(7)/(3)

Find Common Denominator: First, we need to get rid of the fractions by finding a common denominator, which in this case is 9. To do this, we will multiply each term by 9 to eliminate the denominators. 9 * (m/9) + 9 * (2/3) = 9 * (7/3)Simplify Terms: Now, we simplify each term. 9 * (m/9) becomes m because 9/9 is 1. 9 * (2/3) becomes 6 because 9 * 2 = 18 and 18/3 = 6. 9 * (7/3) becomes 21 because 9 * 7 = 63 and 63/3 = 21. So, we have m + 6 = 21.Isolate Variable: Next, we need to isolate m by subtracting 6 from both sides of the equation. m + 6 - 6 = 21 - 6Calculate Value of m: After performing the subtraction, we get the value of m. m = 21 - 6 m = 15

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Solve for $m$ . $\newline$ $\frac{m}{9}+\frac{2}{3}=\frac{7}{3}$

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Algebra 1

Solve linear equations: mixed review

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Q. Solve for

m

\newline

\frac{m}{9}+\frac{2}{3}=\frac{7}{3}

Find Common Denominator: First, we need to get rid of the fractions by finding a common denominator, which in this case is $9$ . To do this, we will multiply each term by $9$ to eliminate the denominators. $9 \times \left(\frac{m}{9}\right) + 9 \times \left(\frac{2}{3}\right) = 9 \times \left(\frac{7}{3}\right)$
Simplify Terms: Now, we simplify each term. $\newline$ $9 \times (m/9)$ becomes $m$ because $9/9$ is $1$ . $\newline$ $9 \times (2/3)$ becomes $6$ because $9 \times 2 = 18$ and $18/3 = 6$ . $\newline$ $9 \times (7/3)$ becomes $21$ because $m$ $0$ and $m$ $1$ . $\newline$ So, we have $m$ $2$ .
Isolate Variable: Next, we need to isolate $m$ by subtracting $6$ from both sides of the equation. $\newline$ $m + 6 - 6 = 21 - 6$
Calculate Value of m: After performing the subtraction, we get the value of $m$ . $m = 21 - 6$ $m = 15$