Question 966879
A) Find two numbers to some is 0.71 and whose product is 0.1218 
x + y = 0.71
xy = 0.1218
solve second equation for x
x = 0.1218 / y
substitute for x in first equation
(0.1218 / y) + y = 0.71
multiply both sides of = by y
0.1218 +y^2 = 0.71y
y^2 -0.71y + 0.1218 = 0
factor the polynomial
(y -0.42) * (y -0.29) = 0
there are two solution sets
x = 0.29, y = 0.42
x = 0.42, y = 0.29
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B) Find two numbers whose difference is .03 and who some is .79
x - y = 0.03
x + y = 0.79
solve frist equation for x
x = y +0.03
substitute for x in second equation
y +0.03 +y = 0.79
2y = 0.76
y = 0.38
x = 0.41, y = 0.38
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C) Find two numbers who some is 1.33 and whose difference is .09
x + y = 1.33
x - y = 0.09
solve second equation for x
x = y +0.09
substitute for x in first equation
y +0.09 +y = 1.33
2y = 1.24
y = 0.62
x = 0.71, y = 0.62