Question

Solve simultaneously the equation
2x-5y=-6
4x-3y=-12

Answer 1

Step-by-step explanation:

Given:-

$2x - 5y = - 6 \: \: \: \: - - - - - (1) \\ 4x - 3y = - 12 \: \: \: - - - - - (2)$

now

$multiply \: equation \: (1) \: by3 \\ and \: equation \: (2) \: by \: 5 \\ \\ 6x - 15y = - 18 \: \: - - - - - - (3) \\ \\ 20x - 15y = - 60 \: \: - - - - (4) \\ \\ \\ now \: substract \: this \\ equation \: 3 \: and \: 4 \\ \\ \: \: \: \: 6x - 15y = - 18 \\ - 20x - 15y = - 60 \\ \\ - - - - - - - - - - \\ \: \: - 14x = 42 \\ \\ x = \frac{42}{14} \\ \\ x = 3 \\ \\ now \: put \: x = 3 \: in \: equation \: (1) \\ \\ 2x - 5y = - 6 \\ \\ 2 \times 3 - 5y = - 6 \\ \\ 6 - 5y = - 6 \\ \\ - 5y = - 6 - 6 \\ \\ - 5y = - 12 \\ \\ y = \frac{ - 12}{ - 5} \\ \\ y = \frac{12}{5} \: \: or \: y = 2.4$