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Populaire Word Problems >

Solve the system of equations x/6+y/8 =14 and x/8+y/6 =14

Solution

\frac{x}{6} + \frac{y}{8} = 14, \frac{x}{8} + \frac{y}{6} = 14

Solution

x = 48, y = 48

étapes des solutions

[\frac{x}{6} + \frac{y}{8} = 14 \frac{x}{8} + \frac{y}{6} = 14]

Isoler

x

pour

\frac{x}{6} + \frac{y}{8} = 14 : x = 84 - \frac{3 y}{4}

Remplacer

x = 84 - \frac{3 y}{4}

[\frac{84 - \frac{3 y}{4}}{8} + \frac{y}{6} = 14]

Simplifier

[\frac{1008 + 7 y}{96} = 14]

Isoler

y

pour

\frac{1008 + 7 y}{96} = 14 : y = 48

Pour

x = 84 - \frac{3 y}{4}

Remplacer

y = 48

x = 84 - \frac{3 \cdot 48}{4}

84 - \frac{3 \cdot 48}{4} = 48

x = 48

Les solutions au système d'équations sont :

x = 48, y = 48

Exemples populaires

Sanjay borrowed 7,000 at a simple interest rate of 3% per year. After a certain number of years he had paid 840 in interest altogether. How many years was that?seventeen is eight more than a number Five times the sum of a number and 17 is at least-15.3 years from now david's age will be 3 times his age 12 years ago. How old was david 12years ago Serenity is going to invest in an account paying an interest rate of 4.4% compounded continuously. How much would Serenity need to invest, to the nearest hundred dollars, for the value of the account to reach 670 in 11 years?