Answer:
A(-2,5)
x= -2 , y=5
Step-by-step explanation:
draw the lines for both equations and that will be by finding any points in the lines:
1. sub any value for x to find y in the equation (y=-x+3) :
- When x=0 ⇒ y=-0+3, y=3 (the point is: (0,3)
- When x=1 ⇒ y= -1 +3 , y=2 (the point is: (1,2)
- When x=2 ⇒ y=-2+3, y=1 (the point is: (2,1)
- When x=-1 ⇒ y=-(-1)+3, y=4 (the point is: (-1,4)
- When x=-2 ⇒ y=-(-2)+3, y=5 (the point is: (-2,5)
plot the points in the graph and match them to get the first line for equation(1).
2. sub any value for x to find y in the equation (y=-3x-1) :
- When x=0 ⇒ y=-3(0)-1, y=-1 (the point is: (0,-1)
- When x=1 ⇒ y=-3(1)-1, y=-4 (the point is: (1,-4)
- When x=2 ⇒ y=-3(2)-1, y=-7 (the point is: (2,-7)
- When x=-1 ⇒ y=-3(-1)-1, y=2 (the point is: (-1,2)
- When x=-2 ⇒ y=-3(-2)-1, y=5 (the point is: (-2,5)
Now again plot the points in the same graph and match them to get the second line for equation(2).
When you finish you will have two lines drawn in a graph, the solution will be were the two points intercept, and that will be:
A(-2,5)
x= -2 , y=5
(note: you can check your answer by subbing the value of x in both equations and you should get the answer 5 as the value of y)
