Find the value of x and y given (2x – y, 25) = (15, 2x + y)?
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Answer:
solution of the equation is ( x , y ) = ( 10 , 15 )
Step-by-step explanation:
(2x – y, 25) = (15, 2x + y)
.: 2x – y = 15. ___ equation 1
2x + y = 25. ___ equation 2
Add equation 1 and equation 2
(2x – y) + (2x + y) = 15 + 25
2x – y + 2x + y = 15+ 25
4x = 40
x = 10
substituting value of x in equation 1
2x - y = 15
2(10) - y = 15
20 - y = 15
20 - 15 = y
y = 5
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