Question

solve by cross multiplication method
2x + 3y = 46
3x + 5y = 74​

Answer 1

Answer:

$2x + 3y = 46 \\ x = \frac{1}{2} (46 - 3y).........(1) \\ substitute \: (1) \: in \: given\: second\: equation\\\frac{3}{2} (46 - 3y) + 5y = 74 \\ 138 - 9 y \times 10y = 74 \times 2 \\ y = 148 - 138 = 10 \\ thus \: y = 10 \\ hence \: \: x = \frac{1}{2} (46 - 3 \times 10) = 8 \\ ie \: \: x \: = \: 8$