Given the simultaneous equation 2x+y=7 and x-y=2. Find the graphical solution of the equation above where x range from -2 to +6 and scale of 1cm to 1unit on x-axis and 2cm to 1 unit on y-axis find the value of x and y.
To find the graphical solution of the simultaneous equations, first we need to rearrange the second equation to solve for x:
x - y = 2
x = y + 2
Now we can plot the two equations on a graph:
Equation 1: 2x + y = 7
y = -2x + 7
Equation 2: x = y + 2
Let's find the intercepts of the first equation:
When x = 0, y = 7
When y = 0, x = 3.5
Plot these points on the graph and draw a line for the first equation.
Now, let's find the intercepts of the second equation:
When x = 0, y = 2
When y = 0, x = -2
Plot these points on the graph and draw a line for the second equation.
The point where the two lines intersect is the solution to the simultaneous equations. In this case, it is at x = 3 and y = 5.
Therefore, the solution to the simultaneous equations 2x+y=7 and x-y=2 is x = 3 and y = 5.