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Given that the the graph represents a system of equations on a coordinate plane, how many solutions does the system have?

Given that the the graph represents a system of equations on a coordinate plane how many solutions does the system have class=

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bluegreen24

Answer: The system has one solution -- where the lines intersect.

Step-by-step explanation: Systems of equations have three answer options:

  • 1 solution - different slope, different y-intercept (intersecting lines).
  • No solution - same slope, different y-intercept (parallel lines).
  • Infinite solutions - same slope, same y-intercept (same line).

In this case, the two lines have different slopes and different y-intercepts. As a result, there is one solution.

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