Question

3. Solve the following simultaneous equations graphically
(1) 2x + 3y = 12 ; x - y = 1​

Answer 1

Answer:

hii dear,

$2x + 3y = 12 \\ 2(x - y = 1) \\ \\ \\ 2x + 3y = 12 \\ 2x - 2y = 2 \\ subtracting \: both \: the \: equation \\ \\ \\ 2x + 3y = 12 \\ - (2x - 2y = 2) \\ \\ 2x + 3y = 12 \\ - 2x + 2y = - 2 \\ 5y = 10 \\ y = 2 \\ \\ putting \: value \: of \: y \: in \: second \: equation \\ x - 2 = 1 \\ x = 1 + 2 \\ x = 3$

hence, x=3 and y=5

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