Mathematics
Grade-8
Easy
Question
How many solutions that the equations have when they are parallel?
- No solution
- Two solutions
- Three solutions
- Infinite solutions
Hint:
There are countless possible answers for a system of linear equations. The number that makes every equation in a system of linear equations true is the system's solution. The answers to the two variables in the two equations will be these points' coordinates.
In this question we have asked the number of solutions that the equations have when they are parallel.
The correct answer is: No solution
The value or values that hold true for each equation in the system constitute the solution to the system of equations. How many solutions there are for a system can be determined from the graphs of its equations.
If the point of intersection is the only location where the two graphs meet when the lines cross, the coordinates of that location provide the answer to the equations involving the two variables.
For example: x=y and x+2y=6
This equation has only one solution as the both the lines intersects at 2,2.
There are no solutions when the lines are parallel. There are always infinitely many solutions when the two equations graph as the same line.
For example: 2y - 4x =10 and y = 2x + 27
So the correct option for number of solutions that the equations have when they are parallel is No solution.
So here we were asked how many solutions that the equations have when they are parallel, so we used the concept of linear equations and understood with an example that when two lines are parallel, there is no solution.
Related Questions to study
Mathematics
How many solutions that the equations have when they intersect at a point?
So here we were asked how many solutions that the equations have when they intersect at a point, so we used the concept of linear equations and understood that when two lines intersect at a point, there is only one solution.
How many solutions that the equations have when they intersect at a point?
MathematicsGrade-8
So here we were asked how many solutions that the equations have when they intersect at a point, so we used the concept of linear equations and understood that when two lines intersect at a point, there is only one solution.
Mathematics
If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively
If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively
MathematicsGrade-8
Mathematics
Who is the father of linear equations in two variables?
Who is the father of linear equations in two variables?
MathematicsGrade-8
Mathematics
What is the y value in the equation 2x + 6y = 12?
What is the y value in the equation 2x + 6y = 12?
MathematicsGrade-8
Mathematics
What is the y value in the equation x + y = 1?
What is the y value in the equation x + y = 1?
MathematicsGrade-8
Mathematics
What is the y value in the equation -3x + 6y = 18?
Solve , equation for y .
What is the y value in the equation -3x + 6y = 18?
MathematicsGrade-8
Solve , equation for y .
Mathematics
How many solutions are there when the graphs of linear equations in two variables are coincident?
How many solutions are there when the graphs of linear equations in two variables are coincident?
MathematicsGrade-8
Mathematics
How many solutions are there when the graphs of linear equations in two variables are parallel?
How many solutions are there when the graphs of linear equations in two variables are parallel?
MathematicsGrade-8
Mathematics
How many solutions are there when the graphs of linear equations in two variables
intersect at one point?
How many solutions are there when the graphs of linear equations in two variables
intersect at one point?
MathematicsGrade-8
Mathematics
5 pencils and 7pens together cost $50, whereas 7 pencils and 5 pens together cost $46. Find the cost of one pencil and that of pen.
5 pencils and 7pens together cost $50, whereas 7 pencils and 5 pens together cost $46. Find the cost of one pencil and that of pen.
MathematicsGrade-8
Mathematics
Check each of the given systems of equations to see if it has a unique solution, infinitely solutions or no solution.
3x + 2y = 6
6x + 4y = 18 solutions of the system
Check each of the given systems of equations to see if it has a unique solution, infinitely solutions or no solution.
3x + 2y = 6
6x + 4y = 18 solutions of the system
MathematicsGrade-8
Mathematics
Check each of the given systems of equations to see if it has a unique solution, infinitely solutions or no solution.
x + 2y = 6
2x + 4y = 12 solutions of the system
Check each of the given systems of equations to see if it has a unique solution, infinitely solutions or no solution.
x + 2y = 6
2x + 4y = 12 solutions of the system
MathematicsGrade-8
Mathematics
Check each of the given systems of equations to see if it has a unique solution, infinitely solutions or no solution.
2x + 3y = 1
3x – y = 7 solutions of the system
Check each of the given systems of equations to see if it has a unique solution, infinitely solutions or no solution.
2x + 3y = 1
3x – y = 7 solutions of the system
MathematicsGrade-8
Mathematics
What is the y – intercept in the following equation y = 2x + 10?
What is the y – intercept in the following equation y = 2x + 10?
MathematicsGrade-8
Mathematics
What is the name of lines when the following equations are drawn on a graph?
What is the name of lines when the following equations are drawn on a graph?
MathematicsGrade-8
