We are given with three equations and three unknowns and we need to solve this problem. The solution is shown below:
Three equations are below:
3x + 4y - z = -6
5x + 8y + 2z = 2
-x + y + z = 0
use the first (multiply by +2) and use the second equation:
2 (3x+4y -z = -6) => 6x + 8y -2z = -12
+ ( 5x + 8y +2z = 2)
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11x + 16y = -10 -> this the fourth equation
use the first and third equation:
3x + 4y -z = -6
+ (-x + y + z =0)
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2x + 5y = -6 -> this is the fifth equaiton
use fourth (multiply by 2) and use fifth (multiply by -11) equations such as:
2 (11x + 16y = -10) => 22x + 32y = -20 -> this is the sixth equation
-11 (2x + 5y = -6) => -22x -55y = 46 -> this is the seventh equation
add 6th and 7th equation such as:
22x + 32y = -20
+(-22x - 55y = 66)
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- 23y = 46
<span> y = -2
solving for x, we have:
</span>2x + 5y = -6
2x = -6 - 5y
2x = -6 - (5*(-2))
2x = -6 +10
2x = 4
x=2
solving for y value, we have:
-x + y + z =0
z = x -y
z = 2- (-2)
z =4
The answers are the following:
x = 2
y = -2
z = 4
<h3>
Answer: 2x/15</h3>
T = total amount of money = (14x^2)/15
y = amount of money each person receives
n = number of people
y*n = T
y*7x = (14x^2)/15
y = (1/(7x))*(14x^2)/15 .... multiply both sides by 1/(7x)
y = 2x/15
Answer:
m = 1
Step-by-step explanation:
<u>2(m+2) - (2m-1)</u> = <u>5</u>
(m+2)(2m-1) 3
2m² -1m + 4m -2 = 3
2m² + 3m - 5 = 0
(2m+5)(m-1) = 0
m = 1 This is the only value that satisfies the equation
m = -5/2
Answer:
Step-by-step explanation:
In this problem we have a regular octagonal barrier (That means that all the length side are equal)
Find out the perimeter of the barrier
The perimeter is equal to
where
b is the length side of the barrier
we have
substitute in the formula of perimeter
Convert to mixed number
