SOLUTION: Plot the graph of the equations 4x - 6y = 12 and x - 5y = 10 and intercept the result. Plot the graph of the equations 8x - 4y = 12 and -4x + 2y = -6 and intercept the result

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Question 186571: Plot the graph of the equations 4x - 6y = 12 and x - 5y = 10 and intercept the result.
Plot the graph of the equations 8x - 4y = 12 and -4x + 2y = -6 and intercept the result
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Start with one of the equations. Pick a value for x. Substitute that value into the equation in place of x, then solve the resulting single-variable equation for y. The x and y values from this process will give you an ordered pair that you can plot on your graph, so plot the point. Repeat the process for a different value of x to get a second point. Plot the second point. Draw a line through the two points that extends all the way across your graph.

Repeat the above process for your other equation.

I don't know how to "intercept" the result. I can tell you how to interpret the result. If the two lines you have just drawn intersect in a point, then the ordered pair describing that point is the solution set of the system of equations. If the two lines are parallel, then the solution set to the system of equations is the empty set. If the two lines are the same line, then the solution set is infinite consisting of all ordered pairs that satisfy either equation.

Do the other problem the same way.

John
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