The coins are 19 and 28 each
Let x represent the first coin and let y represent the second coin
x + y= 47.....equation 1
2x + 5y= 151.......equation 2
From equation 1
x + y= 47
x= 47-y
Substitute 47-y for x in equation 2
2(47-y) + 5y= 151
94 - 2y + 5y= 151
collect the like terms
94 + 3y = 151
3y= 151 - 94
3y= 57
y= 57/3
y= 19
Substitute 19 for y in equation 1
x + y = 47
x + 19 = 47
x= 47-19
x= 28
Hence the coins are 19 and 28 each
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