Question
2x – 3y = 8and 4x – 6y = 9 are ___________.
- Consistent
- Intersecting
- Parallel
- Perpendicular to each other
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 that the given set of equations 2x – 3y = 8 and 4x – 6y = 9
are Consistent, Inconsistent, Intersecting or Perpendicular to each other.
The correct answer is: Parallel
There is only one solution to the two linear equations if both lines intersect at a single location.
We have given the equations as: 2x – 3y = 8and 4x – 6y = 9.
Comparing both the equations with a1, b1, c1 and a2, b2, c2, we get:
a1=2, b1=-3, c1=8
a2=4, b2=-6, c2=9
Now equating then, we get:
Therefore the system is inconsistent.
Here in this question we were given two equations 2x – 3y = 8 and 4x – 6y = 9, where we were supposed to find the system is consistent or not so using the system of linear equations, we found that the system is inconsistent.
Related Questions to study
3x +2y = 8 and 2x – 3y = 1 are ___________.
Here in this question, we were given two equations 3x +2y = 8 and 2x – 3y = 1, where we were supposed to find the system is consistent or not so using the system of linear equations, we found that the system is consistent.
3x +2y = 8 and 2x – 3y = 1 are ___________.
Here in this question, we were given two equations 3x +2y = 8 and 2x – 3y = 1, where we were supposed to find the system is consistent or not so using the system of linear equations, we found that the system is consistent.
The lines 2x + 5y=17 and 5x + 3y=14 are ______________.
Here in this question, we were given two equations 2x + 5y = 17 and 5x + 3y = 14, where we were supposed to find the system is consistent or not so using the system of linear equations, we found that the system is consistent.
The lines 2x + 5y=17 and 5x + 3y=14 are ______________.
Here in this question, we were given two equations 2x + 5y = 17 and 5x + 3y = 14, where we were supposed to find the system is consistent or not so using the system of linear equations, we found that the system is consistent.
The lines 5x - 7y = 13 and 10x - 14y = 15 are ___________.
Here in this question, we were given two equations 5x - 7y = 13 and 10x - 14y = 15, where we were supposed to find whether the system is consistent or not so using the system of linear equations, we found that the system is inconsistent and it has no solution.
The lines 5x - 7y = 13 and 10x - 14y = 15 are ___________.
Here in this question, we were given two equations 5x - 7y = 13 and 10x - 14y = 15, where we were supposed to find whether the system is consistent or not so using the system of linear equations, we found that the system is inconsistent and it has no solution.
What will be the value of k, if the lines given by x + ky + 3 and 2x + (k + 2)y + 6 are coincident?
So here we were asked to find the value of k, so we used the concept of linear equations. The value of k was found to be 2 after applying the equality of coincident lines.
What will be the value of k, if the lines given by x + ky + 3 and 2x + (k + 2)y + 6 are coincident?
So here we were asked to find the value of k, so we used the concept of linear equations. The value of k was found to be 2 after applying the equality of coincident lines.
What will be the value of k, if the lines given by 3x + ky - 4 and 5x + (9 + k)y + 41 represent two lines intersecting at a point?
So here we were asked to find the correct expression which is related to k, so we used the concept of linear equations. The value of k was not equal to 27/2 after applying the equality of intersecting lines.
What will be the value of k, if the lines given by 3x + ky - 4 and 5x + (9 + k)y + 41 represent two lines intersecting at a point?
So here we were asked to find the correct expression which is related to k, so we used the concept of linear equations. The value of k was not equal to 27/2 after applying the equality of intersecting lines.
What will be the value of k, if the lines given by (5 + k)x - 3y + 15 and (k - 1)x - y + 19 are parallel?
So here we were asked to find the value of k, so we used the concept of linear equations. The value of k was found to be 4 after applying the equality of parallel lines.
What will be the value of k, if the lines given by (5 + k)x - 3y + 15 and (k - 1)x - y + 19 are parallel?
So here we were asked to find the value of k, so we used the concept of linear equations. The value of k was found to be 4 after applying the equality of parallel lines.
What will be the nature of the graph lines of the equations 2x + 5y + 15 and 6x + 15y + 45?
So here we were asked the nature of the equations, so we used the concept of linear equations and understood with an example that when two lines are coincident with each other, there is infinite solutions for these pair of equations.
What will be the nature of the graph lines of the equations 2x + 5y + 15 and 6x + 15y + 45?
So here we were asked the nature of the equations, so we used the concept of linear equations and understood with an example that when two lines are coincident with each other, there is infinite solutions for these pair of equations.
What will be the nature of the graph lines of the equations x + 3y - 2 and 2x - y + 5?
So here we were asked the nature of the equations, so we used the concept of linear equations and understood with an example that when two lines are intersecting with each other, there is 1 solution for these pair of equations.
What will be the nature of the graph lines of the equations x + 3y - 2 and 2x - y + 5?
So here we were asked the nature of the equations, so we used the concept of linear equations and understood with an example that when two lines are intersecting with each other, there is 1 solution for these pair of equations.
What will be the nature of the graph lines of the equations 5x - 2y + 9 and 15x - 6y + 1?
So here we were asked the nature of the equations, so we used the concept of linear equations and understood with an example that when two lines are parallel with each other, there is no solution for these pair of equations.
What will be the nature of the graph lines of the equations 5x - 2y + 9 and 15x - 6y + 1?
So here we were asked the nature of the equations, so we used the concept of linear equations and understood with an example that when two lines are parallel with each other, there is no solution for these pair of equations.
What is the y intercept in the equation y = x + 5?
Here we were asked to find the y-intercept of the equation, so the y-intercept was found to be 5. y-intercept is the y-coordinate of a point where a line, curve, or surface intersects the y-axis.
What is the y intercept in the equation y = x + 5?
Here we were asked to find the y-intercept of the equation, so the y-intercept was found to be 5. y-intercept is the y-coordinate of a point where a line, curve, or surface intersects the y-axis.
What is the graphical representation of the following equations?
3x + 6y = 3900 and x + 2y = 1300
So here we were asked about the nature of the equations, so we used the concept of linear equations and understood with an example that when two lines are coinciding with each other, there is an infinite number of solutions for these pair of equations.
What is the graphical representation of the following equations?
3x + 6y = 3900 and x + 2y = 1300
So here we were asked about the nature of the equations, so we used the concept of linear equations and understood with an example that when two lines are coinciding with each other, there is an infinite number of solutions for these pair of equations.
What is the graphical representation of the following equations?
x + 2y = 30 and 2x + 4y = 66
So here we were asked the nature of the equations, so we used the concept of linear equations and understood with an example that when two lines are parallel with each other, there is no solution for these pair of equations.
What is the graphical representation of the following equations?
x + 2y = 30 and 2x + 4y = 66
So here we were asked the nature of the equations, so we used the concept of linear equations and understood with an example that when two lines are parallel with each other, there is no solution for these pair of equations.
What is the graphical representation of the following equations?
3x + 2y = 80 and 4x + 3y = 110
So here we were asked the nature of the equations, so we used the concept of linear equations and understood with an example that when two lines are intersecting with each other, there is 1 solution for these pair of equations.
What is the graphical representation of the following equations?
3x + 2y = 80 and 4x + 3y = 110
So here we were asked the nature of the equations, so we used the concept of linear equations and understood with an example that when two lines are intersecting with each other, there is 1 solution for these pair of equations.
If a linear equation has one variable, what is it called?
Here the concept of Linear equations and Linear equations in two variables were used. There is only one distinct solution for each linear equation with one variable. So the answer is Linear equation in One variable.
If a linear equation has one variable, what is it called?
Here the concept of Linear equations and Linear equations in two variables were used. There is only one distinct solution for each linear equation with one variable. So the answer is Linear equation in One variable.
If a linear equation has two variables, what is it called?
Here the concept of Linear equations and Linear equations in two variables were used. Two or more equations with the same solution make up a system of linear equations. Each equation in a system of linear equations can be represented by a straight line, and the intersection of two or more such lines is the solution.
If a linear equation has two variables, what is it called?
Here the concept of Linear equations and Linear equations in two variables were used. Two or more equations with the same solution make up a system of linear equations. Each equation in a system of linear equations can be represented by a straight line, and the intersection of two or more such lines is the solution.
