book Maths Puzzle Numerical Ability

x+y=1
5x+5y=3
how many solutions are there?

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book Other Question

1) from A->B and ㄱB, infer ㄱA (in fitch format)
2) from A->B, infer A->(B^C)
3) from A<->B and B<->C, infer A<->C
plz help
a ladder is placed 10 feet from the building. how long is, to the nearest tenth of a foot, is the ladder, if it reaches 30 feet up the building?