Answer:
x + y = 3 and 3x - y = 1.
Explanation:
For the equation x + y = 3, we can find the x-intercept by setting y = 0 and solving for x:
x + 0 = 3
x = 3
So the x-intercept is (3, 0). Similarly, we can find the y-intercept by setting x = 0 and solving for y:
0 + y = 3
y = 3
So the y-intercept is (0, 3). We can plot these two points and draw a straight line through them to represent the equation x + y = 3. The resulting line has a slope of -1 and a y-intercept of 3.
For the equation 3x - y = 1, we can find the x-intercept by setting y = 0 and solving for x:
3x - 0 = 1
x = 1/3
So the x-intercept is (1/3, 0). Similarly, we can find the y-intercept by setting x = 0 and solving for y:
3(0) - y = 1
y = -1
So the y-intercept is (0, -1). We can plot these two points and draw a straight line through them to represent the equation 3x - y = 1. The resulting line has a slope of 3 and a y-intercept of -1.
Now, we can visually determine the point where the two lines intersect, which represents the solution to the simultaneous equation. We can do this by looking at the graph and finding the point where the two lines intersect. Using the given range of values of x from -1 to +3, we can plot the two lines and find their intersection point:
[i dont know wheres the graph image but just show it so you can explain that]
The intersection point is approximately (1.1, 1.9), which is the solution to the simultaneous equation x + y = 3 and 3x - y = 1.