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Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)?
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Solve the given system of equations graphically and Find the vertices ...
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Solve the given system of equations graphically and Find the vertices ...
Graphical Solution of the System of Equations and Finding the Area of the Triangle
Graphical Solution:
- Plot the two given lines on a graph.
- Find the points of intersection of the two lines, these points will represent the vertices of the triangle.
- Connect the vertices to form the triangle.
Finding the Vertices:
- Solve the two equations simultaneously to find the points of intersection.
- 5x - y - 7 = 0 --> y = 5x - 7
- x - y = 1 --> y = x - 1
- Equate the two expressions for y: 5x - 7 = x - 1
- Solve for x: 4x = 6 --> x = 1.5
- Substitute x back into one of the equations to find y: y = 1.5 - 1 = 0.5
- The vertices are A(0, -7), B(1.5, 0.5), and C(2, 1).
Finding the Area of the Triangle:
- Calculate the base and height of the triangle.
- Base = x-coordinate of point B = 1.5
- Height = y-coordinate of point A = -7
- Area = 0.5 * base * height = 0.5 * 1.5 * 7 = 5.25 sq. units
Explanation of Discrepancy:
- The answer you calculated as 6 sq. units might be due to rounding off the coordinates of the vertices.
- However, the accurate calculation of the area using the coordinates of the vertices yields an area of 5.25 sq. units.
Graphical Solution:
- Plot the two given lines on a graph.
- Find the points of intersection of the two lines, these points will represent the vertices of the triangle.
- Connect the vertices to form the triangle.
Finding the Vertices:
- Solve the two equations simultaneously to find the points of intersection.
- 5x - y - 7 = 0 --> y = 5x - 7
- x - y = 1 --> y = x - 1
- Equate the two expressions for y: 5x - 7 = x - 1
- Solve for x: 4x = 6 --> x = 1.5
- Substitute x back into one of the equations to find y: y = 1.5 - 1 = 0.5
- The vertices are A(0, -7), B(1.5, 0.5), and C(2, 1).
Finding the Area of the Triangle:
- Calculate the base and height of the triangle.
- Base = x-coordinate of point B = 1.5
- Height = y-coordinate of point A = -7
- Area = 0.5 * base * height = 0.5 * 1.5 * 7 = 5.25 sq. units
Explanation of Discrepancy:
- The answer you calculated as 6 sq. units might be due to rounding off the coordinates of the vertices.
- However, the accurate calculation of the area using the coordinates of the vertices yields an area of 5.25 sq. units.
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Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)?
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Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)?.
Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the given system of equations graphically and Find the vertices and area of the triangle formed by these lines and the 'y' axis . 1). 5x - y - 7 = 0, x - y 1 = 0. (in book answer is 8 sq. Unit but according to me answer must be 6 sq. Unit)?.
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