Question

solve the following simultaneous equation:99x+101y is equal to 499;101y 99y is equal to 501

Answer 1

Answer:

x=3,y=2

Step-by-step explanation:

99x+101y= 499. --(1)

101x+99y=501-----(2)

add eq (1)And (2),

99x+101y=499

+101x+99y=501

____________

200x+200y=1000 --÷by 200

x+y =5------(3)

subtract eq (2) from(1)

99x+101y=499

-101x-99y=(-501

____________

-2x+2y=(-2). ÷ by 2

-x+y=(-1)-------(4)

add eq (3) &(4)

x+y =5

-x+y=(-1)

_______

2y=4

y =4÷2

y =2

put y =2 in eq (3)

x+y=5

x+2=5

x=5-2

x=3