Question

$\frac{x}{2} + \frac{y}{3} = 1 \\ 5x - 2y = 18$
Linear equation in two variable
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Answer 1

Answer:

$\displaystyle \frac{x}{2} + \frac{y}{3} = 1 \\ 5x - 2y = 18$

By substitution method,

$\displaystyle \: x = 2 - \frac{2}{3} y \\ 5x - 2y = 18$

Substituting value of x in equation 5x-2y=18,

$\displaystyle \: 5(2 - \frac{2}{3} y) - 2y = 18$

$\displaystyle \therefore \: y = - \frac{3}{2}$

Substituting value of y in equation x= 2 - 2/3 y,

$\displaystyle \: x = 2 - \frac{2}{3} \times ( - \frac{3}{2} )$

$x = 3$

$\displaystyle\green{ \therefore \: (x,y) = (3, - \frac{3}{2}) }$