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Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis.
3x+ y - 3 = 0 and
2x - y 8 = 0
? please answer?
3x+ y - 3 = 0 and
2x - y 8 = 0
? please answer?
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Solve graphically the pair of linear equations and write the coordinat...
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Solve graphically the pair of linear equations and write the coordinat...
Graphical Solution of the Pair of Linear Equations:
Coordinates of the Vertices of the Triangle:
Final Answer: The coordinates of the vertices of the triangle formed by the two lines with the x-axis are (1,0), (-4,0), and (-1.25, 7.75).
- First, we need to rewrite both equations in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
- 3x + y - 3 = 0 can be rearranged as y = -3x + 3, so its slope is -3 and its y-intercept is 3.
- 2x - y + 8 = 0 can be rearranged as y = 2x + 8, so its slope is 2 and its y-intercept is 8.
- Now, we can graph both lines on the same coordinate plane using their slopes and y-intercepts.
- Their intersection point is the solution to the system of equations.
- By graphing, we can estimate the coordinates of the vertices of the triangle formed by these two lines with the x-axis.
Coordinates of the Vertices of the Triangle:
- The x-axis is where y = 0, so we can find the x-coordinate of the vertices by setting y = 0 in each equation and solving for x.
- For the first equation, -3x + 3 = 0, so x = 1.
- For the second equation, 2x + 8 = 0, so x = -4.
- Therefore, the x-coordinates of the vertices are (1,0) and (-4,0).
- To find the y-coordinate of the third vertex, we need to find where the two lines intersect.
- Setting the two equations equal to each other, we get -3x + 3 = 2x + 8.
- Solving for x, we get x = -1.25.
- Plugging x = -1.25 into either equation, we get y = 7.75.
- Therefore, the third vertex has coordinates (-1.25, 0).
Final Answer: The coordinates of the vertices of the triangle formed by the two lines with the x-axis are (1,0), (-4,0), and (-1.25, 7.75).
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Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer?
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Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer? 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 graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer?.
Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer? 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 graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve graphically the pair of linear equations and write the coordinates of the vertices of the triangle formed by these two lines with x-axis. 3x+ y - 3 = 0 and 2x - y 8 = 0? please answer?.
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