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Solve this system of equations by graphing. First graph the equations, and then type the solution.y=6xy=8x–2Click to select points on the graph.

Question

Solve this system of equations by graphing. First graph the equations, and then type the solution.y=6xy=8x–2Click to select points on the graph.

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Solution

To solve this system of equations by graphing, follow these steps:

  1. Graph the first equation y = 6x. This is a straight line that passes through the origin (0,0) and has a slope of 6.

  2. Graph the second equation y = 8x - 2. This is also a straight line. It has a y-intercept of -2 (where it crosses the y-axis) and a slope of 8.

  3. Look for the point where the two lines intersect. This point is the solution to the system of equations.

Unfortunately, I can't graph the equations here, but you can do this easily on graph paper or with a graphing calculator.

The solution to the system of equations is the x-value at the point where the two lines intersect. To find this, set the two equations equal to each other and solve for x:

6x = 8x - 2 2x = 2 x = 1

Then substitute x = 1 into either of the original equations to find the corresponding y-value. If we substitute into the first equation we get:

y = 6(1) = 6

So the solution to the system of equations is (1, 6).

This problem has been solved

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