Question

2y-x=2;3y-4x=-2
Solve this with both elimination and substitution method

Answer 1

Answer:

elimination method

$2y - x = 2 ....(i) \\ \\ 3y - 4x = - 2...(ii) \\ \\ equ ^{n} (i) \times 4 \\ \\ 8y - 4x = 8 \\ 3y - 4x = - 2 \\ \frac{ - \: \: \: \: + \: \: \: \: \: + }{5y = 10 } \\ y = \frac{10}{5} \\ y = 2 \\ \\ y = 2 \: put \: in \: equation \: (i) \\ \\ 2y - x = 2 \\ \\ 2 \times 2 - x = 2 \\ 4 - x = 2 \\ - x = 2 - 4 \\ - x = - 2 \\ x = 2 \\ \\ \\ substution \: method \\ \\ 2y - x = 2 \\ \\ 2y = 2 - x \\ y = \frac{2 - x}{2} \\ \\ y = \frac{2 - x}{2} put \: in \: equation \: (i) \\ \\ 2y - x = 2 \\ \\ 2 \times \frac{2 - x}{2} - x = 2 \\ - x - x = 2 \\ \\ - 2x = 2 \\ \\ x = - 1$