Question

if x =a+b and 6 =a-b is the solution of pair of the equation 2x -y =3 and x+2y =-1 , find a and b​

Answer 1

Step-by-step explanation:

$x = a + b \\ \\ 6 = a - b \\ \\ \\ 2(a + b) - (a - b) = 3 \\ \\ 2a + 2b - a + b = 3 \\ \\ \\ a + b = 3 \\ \\ (a + b) + 2(a - b) = 1 \\ \\ 3a - b = 1 \\ \\ \\ adding \: these \: \: \: equations \\ \\ \\ 4a = 4 \\ \\ a = 1 \\ \\ \\ \\ b = 3 - 1 \\ \\ b = 2$