Question

3x+2y +1=0 find x and y by 5x +6y - 5=0 substitution method

Answer 1

Answer:

$3x + 2y = - 1 \\ 5x + 6y = 5 \\ \\ from \: (1)we \: get \: \\ \\ 2y = - 1 - 3x \\ \\ y = \frac{ - 1 - 3x}{2} \\ \\ substitution \: y = \frac{ - 1 - 3x}{2} \: in \: (ii) \\ \\ 5x + 6( \frac{ - 1 - 3x}{2} ) = 5 \\ \\ 5x + 3( - 1 - 3x) = 5 \\ \\ 5x - 3 - 9x = 5 \\ \\ - 4x = 8 \\ x = - 2 \\ \\ \\ substituting \: x = - 2 \: \: in \: (1) \: \: we \: get \: 3x + 2y = - 1 \\ \\ 3 \times - 2 + 2y = - 1 \\ \\ - 6 + 2y = - 1 \\ \\ 2y = - 5 \\ \\y = \frac{ - 5}{2}$