If (X-Y,X+Y )= (6,10 ) , find x and y!!
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Answer:
(6 , -1)
Step-by-step explanation:
2x+ y = 11 ----------------(I)
y = 11 - 2x --------------------(II)
Multiply the whole equation by 2
x - 10y = 16 --------------------(III)
Substitute y = 11- 2x in equation (III)
x - 10(11 - 2x) = 16
x - 110 + 20x = 16
21x - 110 = 16
21x = 16 +110
21x = 126
x = 126/21
x = 6
Plugin x = 6 in equation (II)
y = 11 - 2*6
y = 11 - 12
y = -1
For this case we propose a system of equations:
x: Let the variable representing the number of children in the concert
y: Let the variable representing the number of adults at the concert
According to the assistance we have:
According to the cost we have:
Substituting the first in the second equation we have:
Thus, the concert was 375 adults.
On the other hand we have:
Thus, the concert was 1125 children.
In total they were:
people
ANswer:
The concert was 1500 people