In this question, you know that the machine packs 
of a box every 
of a minute. Since it is constant, you simply have to double the half a minute to a full minute and then also double the rate to get 
boxes packed per minute. And 
is equal to 
Evaluate x + 4x when x = 20.
1 answer:
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Equation 1: 
Equation 2:
We can either use the 'elimination' method or the 'substitution' method to solve this simultaneous equation.
In some cases one method is easier to use than the other. For this one, it would be easier to use the elimination method
We need to eliminate either the 'x' or the 'y' to begin with. Say we want to eliminate the 'x' terms, then the next step is to make the constant the same
Equation 1: the constant of 'x' is 5
Equation 2: the constant of 'x' is 2
To make the two constants the same, think of common multiple. The lowest common multiple for 5 and 2 is 10
Equation 1: Multiply all terms by 2 to achieve 10x
Equation 2: Multiply all terms by 5 to achieve 10x
Equation 1:
Equation 2:
Once the constant of 'x' is the same, then we can start the elimination process. Since our aim is to eliminate, one of the 'x' need to be in negative form. We can either multiply Equation 1 or Equation 2 by (-1)
Equation 1: -10x - 14y = -62
Equation 2: 10x + 20y = 80
Hence the correct answer is: Third option
Equation 2:
We can either use the 'elimination' method or the 'substitution' method to solve this simultaneous equation.
In some cases one method is easier to use than the other. For this one, it would be easier to use the elimination method
We need to eliminate either the 'x' or the 'y' to begin with. Say we want to eliminate the 'x' terms, then the next step is to make the constant the same
Equation 1: the constant of 'x' is 5
Equation 2: the constant of 'x' is 2
To make the two constants the same, think of common multiple. The lowest common multiple for 5 and 2 is 10
Equation 1: Multiply all terms by 2 to achieve 10x
Equation 2: Multiply all terms by 5 to achieve 10x
Equation 1:
Equation 2:
Once the constant of 'x' is the same, then we can start the elimination process. Since our aim is to eliminate, one of the 'x' need to be in negative form. We can either multiply Equation 1 or Equation 2 by (-1)
Equation 1: -10x - 14y = -62
Equation 2: 10x + 20y = 80
Hence the correct answer is: Third option
Answer:
(0, 3 ), (5, 0), (10, -3), (15, -6)
Step-by-step explanation:
3x − 5y = 15
-5y = 3x + 15
y =
Point 1: (0, 3 )
y = -3/5(0) + 3
y = 0 + 3
y = 3
Validate:
3 = -3/5(0) + 3
3 = 3
Point 2: (5, 0)
y = -3/5(5) + 3
y = -3 + 3
y = 0
Validate:
0 = -3/5(5) + 3
0 = 0
Point 3: (10, -3)
y = -3/5(10) + 3
y = -6 + 3
y = -3
Validate:
-3 = -3/5(10) + 3
-3 = -3
Point 4: (15, -6)
y = -3/5(15) + 3
y = -9 + 3
y = -6
Validate:
-6 = -3/5(15) + 3
-6 = -6