Question

Solve: 2x + 5y = 15 ; 6x – 3y = 5 using elimination method.

Answer 1

Step-by-step explanation:

Hope it helps you......

Answer 2

Answer:

$2x + 5y = 15.....i \\ 6x - 3y = 5.......ii \\ \\ multiply \: eq \: i \: by \: 3 \\ 3(2x + 5y) = 15 \times 3 \\ 6x + 15y = 45....iii \\ \\ multiply \: eq \: ii \: by \: 5 \\ 5(6x - 3y) = 5 \times 5 \\ 30x - 15y = 25.....iv \\ \\ adding \: eq \: iii \: and \: iv \\ \\ \: 6x + 15y = 45 \\ ( + ) \: 30x - 15y = 25 \\ \\</p><p> 36x = 70 \\ </p><p>x = \frac{70}{36} = \frac{35}{18} \\ \\ putting \: value \: of \: x \: in \: eq \: i \\ \\ 2 \times \frac{35}{18} + 5y = 15 \\ \\ \frac{35}{9} + 5y = 15 \\ \\ 5y = 15 - \frac{35}{9} \\ \\ 5y = \frac{15 \times 9 - 35}{9} \\ \\ 5y = \frac{135 - 35}{9} \\ \\ 5y = \frac{100}{9} \\ \\ y = \frac{100}{9 \times 5} \\ \\ y = \frac{20}{9}$