Question

substitution method class 10 equation 4x+3y=18and 3x- 2y = 5​

Answer 1

Answer:

$4x+3y=18 \\ 3x- 2y = 5 \\ \\ from \: equation \: (1) \\ y = \frac{18 - 4x}{3} \\ substituting \: the \: value \: of \: y \: in \: equation \: (2) \\ 3x - 2(\frac{18 - 4x}{3}) = 5 \\ \frac{9x - 36 + 8x}{3}) = 5 \\ 17x - 36 = 5 \times 3 \\ 17x = 15 + 36 \\ x = 51 \div 17 \\ x = 3 \\ \\ y = \frac{18 - 4x}{3} \\ = \frac{18 - 4 \times 3}{3} \\ = \frac{18 - 12}{3} = \frac{6}{3} = 2$