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Math Asked by a SnapAndSolve user · about 4 hours ago

Solve the system of equations. y = 3x + 1 y = -2x + 6 Graph the equation y = 3x + 1.

Solve the system of equations.
y = 3x + 1
y = -2x + 6
Graph the equation y = 3x + 1.

Answer

Solution to the system of equations:

  1. Set the equations equal to each other: 3x + 1 = -2x + 6.
  2. Solve for x: 3x + 2x = 6 - 1, which simplifies to 5x = 5, so x = 1.
  3. Substitute x = 1 into one of the equations to find y: y = 3(1) + 1 = 4.
  4. The solution to the system is (1, 4).

Graphing the equation y = 3x + 1:

  1. The y-intercept is 1, so plot the point (0, 1) on the graph.
  2. The slope is 3, which means rise over run is 3/1. From (0, 1), move up 3 units and 1 unit to the right to plot the next point (1, 4).
  3. Draw a line through the points (0, 1) and (1, 4) to graph the equation.

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