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The linear equation 3x -11y = 12 has1 pointunique solutionno solutionstwo solutionsinfinitely many solutions
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The linear equation 3x -11y = 12 has1 pointunique solutionno solutions...
**Unique Solution**
The linear equation 3x - 11y = 12 represents a straight line on the coordinate plane. To determine if this equation has a unique solution, we need to consider the slope of the line and its intersection with the y-axis.
**Slope of the Line**
The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line. In the given equation, we can rearrange it to the slope-intercept form as follows:
3x - 11y = 12
-11y = -3x + 12
y = (3/11)x - (12/11)
From this form, we can see that the coefficient of x is the slope of the line. In this case, the slope is 3/11.
**Intersection with the Y-Axis**
To determine the intersection of the line with the y-axis, we set x = 0 in the equation and solve for y:
y = (3/11)(0) - (12/11)
y = -12/11
Therefore, the line intersects the y-axis at the point (0, -12/11).
**Conclusion**
Since the given linear equation represents a straight line with a non-zero slope and it intersects the y-axis at a unique point, we can conclude that the equation has a **unique solution**.
The linear equation 3x - 11y = 12 represents a straight line on the coordinate plane. To determine if this equation has a unique solution, we need to consider the slope of the line and its intersection with the y-axis.
**Slope of the Line**
The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line. In the given equation, we can rearrange it to the slope-intercept form as follows:
3x - 11y = 12
-11y = -3x + 12
y = (3/11)x - (12/11)
From this form, we can see that the coefficient of x is the slope of the line. In this case, the slope is 3/11.
**Intersection with the Y-Axis**
To determine the intersection of the line with the y-axis, we set x = 0 in the equation and solve for y:
y = (3/11)(0) - (12/11)
y = -12/11
Therefore, the line intersects the y-axis at the point (0, -12/11).
**Conclusion**
Since the given linear equation represents a straight line with a non-zero slope and it intersects the y-axis at a unique point, we can conclude that the equation has a **unique solution**.
Community Answer
The linear equation 3x -11y = 12 has1 pointunique solutionno solutions...
Infinitely many solutions is the ans.
because the solution of a linear equation in two variable can be infinitely many.
because the solution of a linear equation in two variable can be infinitely many.
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The linear equation 3x -11y = 12 has1 pointunique solutionno solutionstwo solutionsinfinitely many solutions Related: Short Answer Type Questions- Linear Equations in Two Variables? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The linear equation 3x -11y = 12 has1 pointunique solutionno solutionstwo solutionsinfinitely many solutions Related: Short Answer Type Questions- Linear Equations in Two Variables? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The linear equation 3x -11y = 12 has1 pointunique solutionno solutionstwo solutionsinfinitely many solutions Related: Short Answer Type Questions- Linear Equations in Two Variables?.
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