# Answer to Question #16889 in Algebra for Rp

Question #16889

5x + 6y=28

Find x & y

I need a solution to this problem.. How to solve this problem.

Find x & y

I need a solution to this problem.. How to solve this problem.

Expert's answer

we can rewrite x=1/5(28-6y)=5-y+(3-y)/5

so we can get many solutions for

every y we get some x

if we want to get integer solutions then y=3+5k,

x=5-3-5k-k=2-6k for integer k

so we can get many solutions for

every y we get some x

if we want to get integer solutions then y=3+5k,

x=5-3-5k-k=2-6k for integer k

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