You can
put this solution on YOUR website!
Start with the given system of equations:
In order to graph these equations, we
must solve for y first.
Let's graph the first equation:
Start with the first equation.
Subtract
from both sides.
Divide both sides by
to isolate
.
Rearrange the terms and simplify.
Now let's graph the equation:
Graph of
.
-------------------------------------------------------------------
Now let's graph the second equation:
Start with the second equation.
Subtract
from both sides.
Divide both sides by
to isolate
.
Rearrange the terms and simplify.
Now let's graph the equation:
Graph of
.
-------------------------------------------------------------------
Now let's graph the two equations together:
Graph of
(red). Graph of
(green)
From the graph, we can see that the two lines are parallel, which means that they will
NEVER intersect.
So there are no solutions. This means that the system of equations is inconsistent.
You can
put this solution on YOUR website!Plot the graph of the equations 10x - 4y = 3 and 5x - 2y = 6 and interpret the result.
------------------------
10x - 4y = 3
Let x = 0, then y = -3/4; this gives you the point (0,-3/4)---Plot it.
Let y = 0, then x = 3/10; this gives you the point (3/19,0)---Plot it.
Draw the line thru those two points.
--------------------------------
and 5x - 2y = 6
Let x = 0, then y = -3; this gives you the point (0,-3)---Plot it.
Let y = 0, then x = 6/5; this gives you the point (6/5,0)---Plot it.
Draw the line thru those two points.
--------------------------------
Find the intersection of the two lines; that is the solution
of the system of equations.
Ans: No solution as the lines a parallel.
=============================================
Cheers,
Stan H.
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