The equation 3x - 2y = 8 and 6x - 4y = 16 are systems of equations with infinite solutions.
A linear system of equations can have (a)unique solutions, (b) infinite number of solutions, or (c) no solution.
For it to have infinite number of solutions, the graph of the equations must intercept with each other at infinite points, leaving the two graphs overlaying each other.
Given the equation, 3x - 2y = 8, the other equation in a linear system to have infinite number of solutions with it must be the exact same line.
To do this, simply multiply the whole equation with a real number.
Example:
Multiplying the whole equation by 2 gives 6x - 4y = 16.
Now, 3x - 2y = 8 and 6x - 4y = 16 are equations in a linear system with infinite number of solutions.
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Answer: the answer will be none
Step-by-step explanation:
First set up the equation (sum of the angles is 180)
2x + 2(x-1) + (5x +2) = 180
distribute:
2x + 2x -2 + 5x +2 = 180
combine like terms:
9x = 180
solve for x:
x = 20
SO:
2x° = 2(20) = 40 degrees
2(x-1)° = 2(20) - 2 = 40 - 2 = 38 degrees
5x + 2°= 5(20) + 2 = 100 + 2=102 degrees
check: 40 + 38 + 102 = 180
The length of the air conditioner is 24 feet.
Volume = 3600 feet ³
Width = 15 feet
Height = 10 feet
Length = Unknown
Therefore, the value of the length will be calculated thus:
Volume = Length × Width × Height
3600 = Length × 15 × 10
Length = 3600 / (15 × 10)
Length = 3600 / 150
Length = 24
The length is 24 feet
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Answer:
140
Step-by-step explanation:
180 - 120 = 60 (angle3)
180-100 = 80 (angle 2)
180 - (60 + 80 ) = 40 (angle 1)
180- 40 = 140
