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L1:5x 3y=30 L2:x y=9 L3:y=x/3 L4:y=x/2 The common region shown in the diagram refers to what?
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L1:5x 3y=30 L2:x y=9 L3:y=x/3 L4:y=x/2 The common region shown in the ...
Common Region of Four Equations
The common region shown in the diagram refers to the area where all four equations intersect. This means that any point within this region satisfies all four equations simultaneously. To find this common region, we need to solve for the intersection points of the equations.
Therefore, the common region shown in the diagram is the area bounded by the lines x = 3, x = 6, y = x/3, and y = x/2, and it represents the set of points that satisfy all four equations simultaneously.
- Equation 1: 5x + 3y = 30
- Equation 2: x + y = 9
- Equation 3: y = x/3
- Equation 4: y = x/2
The common region shown in the diagram refers to the area where all four equations intersect. This means that any point within this region satisfies all four equations simultaneously. To find this common region, we need to solve for the intersection points of the equations.
- Solving for Intersection of Equations 2, 3, and 4:
- Substituting y = x/3 into x + y = 9, we get x + (x/3) = 9. Solving for x, we get x = 6.
- Substituting x = 6 into y = x/3, we get y = 2.
- Substituting x = 6 into y = x/2, we get y = 3.
- Therefore, the intersection point of equations 2, 3, and 4 is (6, 2) and (6, 3).
- Solving for Intersection of Equations 1 and 2:
- Substituting y = 9 - x into 5x + 3y = 30, we get 5x + 3(9 - x) = 30. Solving for x, we get x = 3.
- Substituting x = 3 into y = 9 - x, we get y = 6.
- Therefore, the intersection point of equations 1 and 2 is (3, 6).
- Plotting Intersection Points:
- Plotting the intersection points of equations 2, 3, and 4 at (6, 2) and (6, 3).
- Plotting the intersection point of equations 1 and 2 at (3, 6).
- Shading the Common Region:
- The common region is the shaded area where all four equations intersect. This area is bounded by the lines x = 3, x = 6, y = x/3, and y = x/2.
Therefore, the common region shown in the diagram is the area bounded by the lines x = 3, x = 6, y = x/3, and y = x/2, and it represents the set of points that satisfy all four equations simultaneously.
Community Answer
L1:5x 3y=30 L2:x y=9 L3:y=x/3 L4:y=x/2 The common region shown in the ...
5x+3y≥30
x+y≤9
y≥9
y≤x/2
x≥0,y≥0
x+y≤9
y≥9
y≤x/2
x≥0,y≥0
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L1:5x 3y=30 L2:x y=9 L3:y=x/3 L4:y=x/2 The common region shown in the diagram refers to what?
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L1:5x 3y=30 L2:x y=9 L3:y=x/3 L4:y=x/2 The common region shown in the diagram refers to what? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about L1:5x 3y=30 L2:x y=9 L3:y=x/3 L4:y=x/2 The common region shown in the diagram refers to what? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for L1:5x 3y=30 L2:x y=9 L3:y=x/3 L4:y=x/2 The common region shown in the diagram refers to what?.
L1:5x 3y=30 L2:x y=9 L3:y=x/3 L4:y=x/2 The common region shown in the diagram refers to what? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about L1:5x 3y=30 L2:x y=9 L3:y=x/3 L4:y=x/2 The common region shown in the diagram refers to what? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for L1:5x 3y=30 L2:x y=9 L3:y=x/3 L4:y=x/2 The common region shown in the diagram refers to what?.
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