Question

find the value of xy if x+y=7 and x-y= 4​

Answer 1

Answer:

33/4

Step-by-step explanation:

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Answer 2

Answer:

xy = 33/4

Step-by-step explanation:

$x + y = 7 \\ x - y = 4 \\ - - - - - \\ 2x = 11 \\ \large{ \boxed{x = \underline{ \underline{ \frac{11}{2} }}}} \\ \\ x - y = 4 \\ \frac{11}{2} - y = 4 \\ \frac{11}{2} - 4 = y \\ \frac{11 - 8}{2} = y \\ \large{ \boxed{\underline{ \underline{ \frac{3}{2} }} = y}} \\ \\ x + y = 7 \\ \frac{11}{2} + \frac{3}{2} = 7 \\ \frac{14}{2} = 7 \\ \large{\underline{ \underline{7 = 7}}} \\ \\ x - y = 4 \\ \frac{11}{2} - \frac{3}{2} = 4 \\ \frac{8}{2} = 4 \\ \large{\underline{ \underline{4 = 4}}} \\ \\ xy =?? \\ xy = \frac{11}{2} \times \frac{3}{2} \\ \large{ \boxed{xy = \underline{ \underline{\frac{33}{4}}}}}$