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Sylvie finds the solution to the system of equations by graphing.

y=2/3x+1 and y = -2/3 x-1
Which graph shows the solution to Sylvie's system of equations? Plz help, it’s 15 points lol!!

1 Answer

2 votes

Answer:

From the graph, it is clear that both lines intersect

at x=0 and y=2/3 or (0.667)

Therefore, the solution is: (x, y) = (0, 2/3) or (0, 0.667)

Explanation:

Given the system of equations

y=2/3x+1 and y = -2/3 x-1

GRAH AND POINT OF INTERSECTION (SOLUTION)

The solution graph is attached below.

From the attached solution graph,

  • The red line is representing the equation y=2/3x+1
  • The blue line is representing the equation y = -2/3 x-1

From the graph, it is clear that both lines intersect

at x=0 and y=2/3 or (0.667)

Thus, the point of intersection is (x, y) = (0, 2/3) or (0, 0.667)

Therefore, the solution is: (x, y) = (0, 2/3) or (0, 0.667)

Sylvie finds the solution to the system of equations by graphing. y=2/3x+1 and y = -2/3 x-example-1
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