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Here is a system of equations. { y = -x + 2 y = -2x + 4 } Graph the system. Then write its solution. Note...

Here is a system of equations.
{ y = -x + 2
y = -2x + 4
}
Graph the system. Then write its solution. Note that you can also answer "No solution" or "Infinitely many" solutions.

Answer

Solution: The solution to the system of equations is the point where the two lines intersect. Solving the equations:

  1. Set the equations equal to each other: -x + 2 = -2x + 4.
  2. Solve for x: x = 2.
  3. Substitute x = 2 into one of the equations to find y: y = -2 + 2 = 0.

The solution is (2, 0).

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