Q. 235.0( 2 Votes )
Show graphically that each of the following given systems of equations has infinitely many solutions:
3x - y = 5, 6x - 2y = 10.
Answer :
For equation, 3x – y = 5
First, take x = 0 and find the value of y.
Then, take y = 0 and find the value of x.
Now similarly solve for equation, 6x - 2y = 10
Plot the values in a graph and find the intersecting point for the solution.
The lines coincide on each other, this indicates that there are number of intersection points on the line since a line consists of infinite points.
Hence, the graph shows that the system of equations have infinite number of solutions.
Rate this question :
Dealing With the Real Life Problems53 mins
Quiz | Solution of Linear Equations53 mins
Champ Quiz | Consistency and Inconsistency of Solutions36 mins
Pair of Linear Equations in Two Variables46 mins
Quiz | Real Life Problems Through Linear Equations56 mins
Smart Revision | Important Word Problems37 mins
Dealing with the Real Life Problems54 mins
Elimination (quicker than quickest)44 mins
Bonus on Applications of Linear Equations in Two Variables43 mins
Consistent and Inconsistent Equations33 mins
Solve the following system of equations graphically. Also find the points where the lines intersect x – axis.
x + 2y = 1
x— 2y = 7
KC Sinha - MathematicsSolve the following system of equations graphically. Also find the points where the lines intersect x – axis.
2x + 3y = 8
x — 2y = — 3
KC Sinha - MathematicsSolve the following system of equations graphically. Also find the points where the lines intersect x – axis.
x + 2y = 5
2x — 3y = — 4
KC Sinha - MathematicsSolve the following system of linear equations graphically.
3x — 2y – 1 = 0
2x — 3y + 6 = 0
Shade the region bounded by the lines and the x – axis.
KC Sinha - MathematicsSolve the following system of equations graphically. Also find the points where the lines meet the y – axis.
2x — y — 5 = 0
x — y — 3 = 0
KC Sinha - MathematicsSolve the following system of equations graphically. Also find the points where the lines meet the y – axis.
2x — y = 4
3y — x = 3
KC Sinha - MathematicsSolve the following system of equations graphically. Also find the points where the lines intersect x – axis.
x + 2y = 1
x — 2y = —7
KC Sinha - MathematicsSolve the following pair of linear equations graphically and shade the region bounded by these lines and x – axis; also find the area of the shaded region.
4x — 3y + 4 = 0
4x + 3y — 20 = 0
KC Sinha - Mathematics