Solve graphically the following simultaneous linear Equations
X-Y/3=2
X-5y=0
see
http://www.wolframalpha.com/input/?i=plot+x-y%2F3%3D2%2C+x-5y%3D0+
or use the graphing utility of your choice. See where the lines intersect.
thank you very much the link u sent me is the best for all solutions. Thanks again...
15/2'3/2
good
To solve the given simultaneous linear equations graphically, we first need to convert each equation into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
Equation 1: x - y/3 = 2
Rearranging the equation, we get:
x = 2 + y/3
Converting it to slope-intercept form:
y = 3x - 6
Equation 2: x - 5y = 0
Rearranging the equation, we get:
x = 5y
Converting it to slope-intercept form:
y = x/5
Now that we have the equations in slope-intercept form, we can graph them on a coordinate plane.
To graph y = 3x - 6:
1. Choose a set of x-values.
Let's choose x = -3, 0, 3 as examples.
2. Substitute each x-value into the equation to find the corresponding y-values.
For x = -3:
y = 3(-3) - 6 = -15
The coordinates (-3, -15) represent one point on the line.
For x = 0:
y = 3(0) - 6 = -6
The coordinates (0, -6) represent another point on the line.
For x = 3:
y = 3(3) - 6 = 3
The coordinates (3, 3) represent a third point on the line.
3. Plot the points on the coordinate plane and draw a straight line passing through them.
To graph y = x/5:
1. Choose a set of x-values.
Let's choose x = -5, 0, 5 as examples.
2. Substitute each x-value into the equation to find the corresponding y-values.
For x = -5:
y = (-5)/5 = -1
The coordinates (-5, -1) represent one point on the line.
For x = 0:
y = 0/5 = 0
The coordinates (0, 0) represent another point on the line.
For x = 5:
y = 5/5 = 1
The coordinates (5, 1) represent a third point on the line.
3. Plot the points on the coordinate plane and draw a straight line passing through them.
Now, we have graphed both equations on the same coordinate plane. The point where these lines intersect represents the solution to the simultaneous equations.
By observing the graph, it is clear that the lines intersect at the point (3, 3). Therefore, the solution to the given simultaneous linear equations is x = 3 and y = 3.