Question

the solution for a pair of linear equation by elemination method 4× + 6y = 24 and 6× + 4y = 26​

Answer 1

Answer:

$4x + 6y = 24....(1) \\ 6x + 4y = 26....(2) \\ adding \: (1) \: and \: (2) \\ 10x + 10y = 50 \\ 10(x + y) = 50 \\ x + y = \frac{50}{10} \\ x + y = 5....(3) \\ subtracting \: (1) \:from \: (2) \\ 2x - 2y = 2 \\ 2(x - y) = 2 \\ x - y = \frac{2}{2} \\ x - y = 1.....(4) \\ adding \: (3) \: and \: (4) \\ 2x = 6 \\ x = \frac{6}{2} \\ x = 3 \\ \therefore \: 3 + y = 5 \\ y = 5 - 3 \\ y = 2 \\ thus \: \\ x = 3 \\ y = 2$