Question

7-4x/3=y,2x+3y+1=0 find simultaneous equation ​

Answer 1

Answer:

x = 11 & y = -23

Step-by-step explanation:

$7 - \frac{4x}{3} = y \\ 7 = \frac{4x}{3} + y \\ multiply \: the \: equation \: by \: 3 \\ thus \: \: = (7 = \frac{4x}{3} + y) \times 3 \\ = (7 \times 3 = \frac{4x}{3} \times 3 \times + y \times 3) \\ = (21 = 4x + 3y) \\( 4x + 3y = 21).........(1)$

$subtract \: equation(2) \: from \: (1) \\ 4x + 3y - (2x + 3y) = 21 - ( - 1) \\ 4x + 3y - 2x - 3y = 21 + 1 \\ 4x - 2x + 3y - 3y = 22 \\ 2x + 0 = 22 \\ x = \frac{22}{2} \\ x = 11$

$put \: x = 11 \: in \: equation \: (2) \\ thus \\ 2x + 3y = - 1 \\ 2(11) + 3y = - 1 \\ 22 + 3y = - 1 \\ 3y = - 1 - 22 \\ 3y = - 23$

$2x + 3y + 1 = 0 \\ 2x + 3y = - 1.........(2)$