To solve the simultaneous equation using the graphical method, we can plot the graphs of the two equations and find the point of intersection, which represents the solution.
The given equations are:
1) 2y - x = 4
2) 2y + x = 6
Rearranging equation 1) to solve for y:
2y = x + 4
y = (1/2)x + 2
Rearranging equation 2) to solve for y:
2y = -x + 6
y = (-1/2)x + 3
Now we can plot the graphs of these equations:
The graph of equation 1) is a straight line with a slope of 1/2 and a y-intercept at (0, 2).
The graph of equation 2) is a straight line with a slope of -1/2 and a y-intercept at (0, 3).
Graphing these two equations will give us two lines:
The graph of equation 1) (in blue) will pass through the points (0, 2) and (4, 4).
The graph of equation 2) (in red) will pass through the points (0, 3) and (6, 0).
Now, we can see from the graph that the two lines intersect at the point (2, 3).
Therefore, the solution to the simultaneous equation is x = 2 and y = 3.
Graph:
https://www.desmos.com/calculator/jzymw7o2mm
Solve the simultaneous equation using graphical method 2y-x=4 and 2y+x=6
1 answer
1 answer