Answer:
23 x-29y=98.......(1)
29 x-23y=110.......(2)
adding (1) and (2)we get
52 x-52y=208
52(x+y)=208
x-y=4...(3)[we get four by dividing 208 with 52]
subtract (2) from (1) we get
-6 x-6y=-12
x-y=2.....(4)
adding (3) and (4) we get
2x=6
therefore x=3
now from (4) we get
x-y=2 [we substitute xfor 3]
3-y=2
y=2-3
y=-1( that is the answer for your first question)
Explanation:
99x+101y=499.....(1)
101x+99y=501.....(2)
add (1) and (2)
(99+101)x+(101+99)=(499+501)
200x+200y=1000
200(x+ y)=1000
x+y=5.....(3)
subtract (2)from(1) we get
2x-2y=2
2(x-y)=2
x+y=1.......(4)
x+y=5
x-y=1(add them together)
2x=6
x=3
substitute x equal to 3 in equation (3)
x+y=5
3+y=5
y=2
y equal to 2 and x equal to 3
hope is not too late