Question

Solve the following simultaneous equations ​

Answer 1

Answer:

X = 1, Y = 0

Step-by-step explanation:

multiply the 2nd equation with and minus this with the 1rst equation.

500X + 1000Y = 500

500X + 250Y = 500

you will get Y= 0

put this value in any equation where you will get X = 1

Answer 2

Answer:

$500x + 250y = 500 \: \: \: \: \: \: \: \: \: \: (1) \\ 250x + 500y = 250 \: \: \: \: \: \: \: \: \: \: (2) \\ adding \: (1) \: and \: (2) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 500x + 250y = 500 \\ ( + ) \: \: \ \: \: \: \: \: \: \: 250x + 500y = 250 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 750x + 750y = 750 \\ dividing \: both \: the \: side \: by \: 750 \\ x + y = 1 \: \: \: \: \: \: \: \: \: \: \: \: (3) \\ subtracting \: (2) \: from \: (1) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 500x + 250y = 500 \\ ( - ) \: \: \: \: \: \: \: \: \: \: \: \: 250x + 500y = 250 \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 250x - 250y = 250 \\ dividing \: both \: side \: by \: 250 \\ x - y = 1 \: \: \: \: \: \: \: \: \: (4) \\ adding \:(3) \: and \: (4) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x + y = 1 \\ ( + ) \: \: \: \: \: \: x - y = 1 \\ 2x = 2 \\ x = 1 \: \\subsituting \: value \: of \:x \: in \: (3) \\ x + y = 1 \\ 1 + y = 1 \\ y = 1 - 1 \\ y = 0$

x = 1 , y = 0