Question

Find the solution of the form $x=9,y=0$ and $x=0,y=6$ for the equation $2x+5y=10,2x+3y=6$
Is there any common solution.

Answer 1

Given $2x+5y=10$ ___ (1)

$2x+3y=6$ ___ (2)

On subtracting (1) and (2),

$2y=4\Rightarrow y=2$

$\Rightarrow x=0$

$\Rightarrow (0,2)$ satisfies both eq's

No, there is no common

solution