The intersection of the two lines that represents the solution set to the given simultaneous equation are x = 1.2 and y = 1.6.
The graph of two linear equation.
The graph of two linear equation (simultaneous equation) on a coordinate plane is to determine the values of x and y on the plane.
To plot the graph of the linear equation on the plane, we need to determine the intercepts of each linear equation, and plot the points. The intersection of these two line is the solution set for the x and y values.
Given that:
3x - y = 2
x-intercept: The values of x when y is equal to zero.
3x - (0) = 2
3x = 2
x = 2/3 = 0.67
x -intercept: (0.67,0)
y-intercept: The values of y when x is equal to zero.
3(0) - y = 2
- y = 2
y = -2
y-intercept: (0, -2)
For 2x + y = 4,
x-intercept:
2x + (0) = 4
2x = 4
x = 4/2
x = 2
x -intercept: (2,0)
y-intercept:
2x + y = 4
2(0) + y = 4
y = 4
y-intercept: (0,4)
After these points are plotted on the graph and their straight lines are drawn, the intersection of these two lines are x = 1.2 and y = 1.6. This represents the solution set to the given simultaneous equation.