Solve x 3 - y 5 -1-7x-15y-21

x 3 + y 5 =1 5x+3y=15→ 1 7x 15y=21→ 2 Multiplying 1 by 5 we get 25x+15y=75 7x 15y=21 32x=96 x=3 7(3) 15y= ...

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Standard IX

Mathematics

Linear Equation in One Variable

Solve x 3 +...

Question

Solve $\frac{x}{3} + \frac{y}{5} = 1, 7 x - 15 y = 21$

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Solution

$\frac{x}{3} + \frac{y}{5} = 1$
$5 x + 3 y = 15 \to 1$
$7 x - 15 y = 21 \to 2$
Multiplying $1$ by $5$ we get
$25 x + 15 y = 75$
$7 x - 15 y = 21$
$32 x = 96$
$x = 3$
$7 (3) - 15 y = 21$
$15 y = 0$
$y = 0$
$∴ x = 3; y = 0$

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Solve x3+y5=1,7x−15y=21

x3+y5=15x+3y=15→17x−15y=21→2Multiplying 1 by 5 we get25x+15y=757x−15y=2132x=96x=37(3)−15y=2115y=0y=0∴x=3;y=0

Solve $\frac{x}{3} + \frac{y}{5} = 1, 7 x - 15 y = 21$

$\frac{x}{3} + \frac{y}{5} = 1$
$5 x + 3 y = 15 \to 1$
$7 x - 15 y = 21 \to 2$
Multiplying $1$ by $5$ we get
$25 x + 15 y = 75$
$7 x - 15 y = 21$
$32 x = 96$
$x = 3$
$7 (3) - 15 y = 21$
$15 y = 0$
$y = 0$
$∴ x = 3; y = 0$