Question

solve the following by substitution method :-
i) 2x + 3y =5 , 3x + 4y = 6​

Answer 1

Step-by-step explanation:

$2x + 3y = 5 - - \times 3 \\ 3x + 4y = 6 - - \times 2 \\ 6x + 9y = 15 \\ 6x + 8y = 12 \\ - \: \: \: \: \: - \: \: \: \: \: - \\ 9y - 8y = 15 - 12 \\ or \: \: y = 3 \\ 2x + 3 \times 3 = 5 \\ or \: \: 2x = 5 - 9 \\ or \: \: x = \frac{ - 4}{2} = - 2$

x=—2

y=3