X - y + x + y = 180
2x = 180
x = 90
2x - 2y = x + y
x = 3y
y = x/3
y = 90/3
y = 30
x - y = 90 - 30 = 60
x + y = 90 + 30 = 120
2x - 2y = 180 - 60 = 120
Answer:
29
Step-by-step explanation:
Sum of the 21 numbers is 21*30 = 630
Now let's remove 50 from the sum of 630
630-50 = 580
The new average can be found. Remember we removed the largest number so we now have 20 numbers.
580/20 = 29
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Four males a perfect square
Answer:
See explanation
Step-by-step explanation:
8x = 3y + 38
24= 6y + 9x
Rearrange;
3y - 8x = -38 * 2 -------(1)
6y + 9x = 24 * 1 -------(2)
6y - 16x = -76 -------(3)
6y + 9y = 24 -------(4)
Subtract (4) from (3)
-25y = -100
y= 100/25
y = 4
Substitute y =4 into(1)
3y - 8x = -38
3(4) - 8x = -38
12 -8x = -38
-8x = -38 - 12
x = 50/8 = 6 2/8
2) 6 = 2x + y
7x = 3 - 3y
Rearrange;
2x + y = 6 * 3 --------(1)
7x + 3y = -3 * 1 --------(2)
6x + 3y = 18 ---------(3)
7x + 3y = -3 ---------(4)
Subtract (4) from (3)
-x = 21
x = -21
Substitute x = -21 into (1)
2x + y = 6
2(-21) + y = 6
-42 + y = 6
y = 6 + 42
y = 48
3)
11x = 5 + 10y
7y = -2x +45
Rearrange
11x - 10y = 5 * 2 ---------(1)
2x + 7y = 45 * 11 ---------(2)
22x - 20y = 10 --------(3)
22x + 77y = 495 --------(4)
Subtract (4) from (3)
-97y = -485
y = 5
Substitute y =5 into (1)
11x - 10y = 5
11x - 10(5) = 5
11x - 50 = 5
11x = 5 + 50
11x = 55
x = 55/11
x = 5
