Question

Find the solution set by using the method of equating the coefficient: 2x-4y=-10 , y-5x=-5​

Answer 1

Answer:

$2x - 4y = - 10 \\ 2(x - 2y) = - 10 \\ x - 2y = - 5 \\ y - 5x = - 5 \\ multiplying \: both \: sides \: by \: 2 \\ 2(y - 5x) = - 5 \times 2 \\ 2y - 10x = - 10 \\ adding \: equation \: x - 2y = - 5 \: \: and \: 2y - 10x = - 10 \\ x - 2y + 2y - 10x = - 5 - 10 \\ - 9x = - 15 \\ x = \frac{ - 15}{ - 9} \\ x = \frac{5}{3} \\ x - 2y = - 5 \\ \frac{5}{3} - 2y = - 5 \\ \frac{5 - 6y}{3} = - 5 \\ 5 - 6y = - 15 \\ 5 + 15 = 6y \\ 20 = 6y \\ \frac{20}{6} = y \\ \frac{10}{3} = y$