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PLS HELP

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Given that

$$\frac{1}{x} + \frac{1}{y} = 5$$

$$3xy + x + y = 4$$

compute $$x^2y+xy^2$$

Jan 30, 2022

#1
+1224
+1

1/x + 1/y = 5

(x + y)/xy = 5

x + y = 5xy

3xy + x + y = 4

x + y = 4 - 3xy

5xy = 4 - 3xy

8xy = 4

xy = 1/2

$$x^2 y + xy^2 = (x+y)(xy) = 5(1/2)(1/2) = \boxed{5/4}$$

Jan 30, 2022
#2
0

Thanks a lot

Guest Jan 30, 2022