Findthevalueofkforwhichthesystemofequationskx y 2 & 6x 2y 3hasauniquesolution




Question 636409: Graph linear equation
x-y=2
Thanks
Answer by KMST(5315)
Findthevalueofkforwhichthesystemofequationskx y 2 & 6x 2y 3hasauniquesolution
 
Findthevalueofkforwhichthesystemofequationskx y 2 & 6x 2y 3hasauniquesolution
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You can put this solution on YOUR website!
The graph of a linear equation is a straight line.
To locate that straight line you just need two points.
To find a point, you give a value to one of the variables (x or y),
and solve the equation to find the corresponding value for the other variable.
You can chose any value, for any variable, but a smart choice makes the calculations and the graphing easy.
For values, zero is often a good choice.
For

Findthevalueofkforwhichthesystemofequationskx y 2 & 6x 2y 3hasauniquesolution
, the equation is
Findthevalueofkforwhichthesystemofequationskx y 2 & 6x 2y 3hasauniquesolution
-->
Findthevalueofkforwhichthesystemofequationskx y 2 & 6x 2y 3hasauniquesolution
-->
Findthevalueofkforwhichthesystemofequationskx y 2 & 6x 2y 3hasauniquesolution

That gives you the point (0,-2).
For
Findthevalueofkforwhichthesystemofequationskx y 2 & 6x 2y 3hasauniquesolution
, the equation is
Findthevalueofkforwhichthesystemofequationskx y 2 & 6x 2y 3hasauniquesolution
-->
Findthevalueofkforwhichthesystemofequationskx y 2 & 6x 2y 3hasauniquesolution

That gives you the point (2,0).
Plotting those two points, and connecting them with a line gives you the graph.
Findthevalueofkforwhichthesystemofequationskx y 2 & 6x 2y 3hasauniquesolution


What will be the value of c if solution of equations cx y 2 and 6x 2y 3 are infinite?

Each point on the lines will be a solution and so the pair of equations will have infinitely many solutions. We observe that the value of c is not constant. Therefore, there is no value of c for which the given equations will have infinitely many solutions.

What is the solution of the equations xy 2 and x y 4?

The solution of equations x-y=2 and x+y=4 is:- If x=a and y= b is solution for the pair of equations x-y=2 and x+y=4, then find the values of a and b. If x = a and y = b is the solution of the pair of equations `x-y=2" and "x+y=4`, find the values of a and b.