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Mars2501 [29]
3 years ago
7

Find two whole numbers whose sum is 60 and whose difference is 12

Mathematics
1 answer:
Nutka1998 [239]3 years ago
5 0
\left \{ {\big{x+y=60} \atop \big{x-y=12}} \right. \\--------\\x+x=60+12\\2x=72\ /:2\\x=36\\\\x+y=60\ \ \ \Rightarrow\ \ \ y=60-x\ \ \ \Rightarrow\ \ \ y=60-36=24\\\\Ans.\ the\ numbers:\ 36\ \ and\ \ 24
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I need help, you need to find x and y<br> Step by step would be good thanks
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Equation (2) - (1) :
-3y = 3                         //  ║x - x = 0 ║;║ - y - 2y = -3y║ ; ║6 - 3 = 3 ║

y  = -1                          //   ║ ÷ (-3) on both sides ║

Substitute y = -1 into equation (2) :

x - y = 6                        //   ║ Equation 2║

x - ( -1 ) = 6                   //   ║ Sub y = -1 into the equation║

x + 2 = 6                       //   ║ open the bracket ( - ) ( -) = +  ║

x = 4                             //   ║ Take away 2 from both sides║


Answer: x = 4, y =  -1

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