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
Solution
To solve this system of equations by graphing, follow these steps:
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Graph the first equation y = 6x. This is a straight line that passes through the origin (0,0) and has a slope of 6.
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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.
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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).
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