Question

solve for x and y :99x + 101y=499,101x + 99y = 501

Answer 1

Answer:

x=3, y=2

Step-by-step explanation:

Given: 99x +101y =499 ......(1)

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

Subtracting eq (1) from eq (2),we get:

2x-2y=2

2(x-y)=2

x-y=1

so, x=y+1......(3)

Putting the value of x in eq (1),we get

99(y+1)+101y=499

99y+99+101y=499

200y=400

y=400/200

y=2

Hence,x=2+1=3

VERIFICATION STEP:

99*3+101*2=499

297+202=499

499=499

VERIFIED.

THANK YOU.