Question

find the solution pf the form x=a,x=0,y=b for the following equation :2x+5y=10 and 2x+3y=6. is there any common solution

Answer 1

$2a + 5b = 10 \: eqn \: i \\ 2a + 3b = 6 \: eqn \: ii\\ subtracting \: eqn \:i \: and \: ii \\ b = 4 \div 2 = 2 \\ putting \: b = 2 \: in \: eqn \: i \\ 2a + 5 \times 2 = 10 \\ a = 0$