Answer:
Step-by-step explanation:
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2(7) + 5(1) + 3(-3) = 10
3(7) - (1) + 4(-3) = 8
5(7) - 2(1) + 7(-3) = 12
Then (7,1,-3) is a solution to system
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Answer: 280
<u>Step-by-step explanation:</u>
Quantity X Cost = Money Received
Adult: x 3 3x
Children: 500-x 2 2(500 - x) = 1000 - 2x
Adult = Children + 400
3x = 1000 - 2x + 400
3x = 1400 - 2x
5x = 1400
x = 280
Answer: 10, 11, & 12
<u>Step-by-step explanation:</u>
Let x represent the age of the youngest child.
Their ages are consecutive so,
Youngest: x
Middle: x + 1
Oldest: x + 2
The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.
x² = 8(x + 2) + 4
x² = 8x + 16 + 4
x² = 8x + 20
x² - 8x - 20 = 0
(x - 10)(x + 2) = 0
x - 10 = 0 or x + 2 = 0
x = 10 or x = -2
Since age cannot be negative, x = -2 is not valid
So, the Youngest (x) is 10
the Middle (x + 1) is 11
and the Oldest (x + 2) is 12
Answer:
Step-by-step explanation:
Answer:
x= 1/4 .....................
y=-1
