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kyusra2008
04.02.2020 •
Mathematics
If x+y=10 and x-y=4 find the value of x2 y2
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Ответ:
Explanation:
If x + y = 10 ; then: x = 10 - y ; and y = 10 - x ;
If x - y = 4 ; then x = 4 + y ;
Start with: "x + y = 10" ;
Substitute "(4+y)" for "x" ;
(4+y) + y = 10 ;
4 + 2y = 10 ; subtract "4" from each side of the equation:
4 + 2y - 4 = 10 - 4 ;
2y = 6 ; divide each side of the equation by "2" ; to isolate "y" on one side of the equation; and to solve for "y";
2y/2 = 6/2 ;
to get: y = 3 ;
Since: x + y = 10 ; substitute "3" for "y"; and solve for "x" :
x + 3 = 10 ; subtract "3" from each side of the equation:
x + 3 - 3 = 10 - 3 ;
to get: x = 7 ;
Now, the question asks: what is: x² * y² ?
x² * y² = 7² * 3³ = 49 * 27 = 1323 .
Ответ: