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Solve the system by graphing.

y = −x + 3
y = −3x − 1


The solution of the system

Sagot :

Hajora03idn

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)

View image Hajora03
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