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The sum of the real numbers x and y is 25. Their difference is 13. What is the value of xy ?

 Jun 15, 2022

Best Answer 

 #1
avatar+6 
+1

You can make a system of linear equations, and then solve for x and y.
\({x-y=13}\)
\({x+y=25} \)

 

Next you can add these two equations together.

\({2x=38}\)

\({x=19} \)

 

Substituting in our first equation will then give us \({y=6}\)

 

Multiplying 19 and 6 together gives us 144

 

cheeky

 Jun 15, 2022
 #1
avatar+6 
+1
Best Answer

You can make a system of linear equations, and then solve for x and y.
\({x-y=13}\)
\({x+y=25} \)

 

Next you can add these two equations together.

\({2x=38}\)

\({x=19} \)

 

Substituting in our first equation will then give us \({y=6}\)

 

Multiplying 19 and 6 together gives us 144

 

cheeky

YeetSkeet Jun 15, 2022
 #4
avatar+6 
0

It should be 114. That was a typo

 

 

cheeky

YeetSkeet  Jun 15, 2022
 #2
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0

 

Multiplying 19 and 6 together gives us 144   

 

There's a typo in the above.  Actually, 19 • 6 = 114  

.

 Jun 15, 2022
 #3
avatar+6 
0

My bad

 

cheeky

YeetSkeet  Jun 15, 2022

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