Find the solution to the system of linear equations by graphing.

x − 2y = 3
y + 3x = - 5

  (x, y) = (-1, -2)

Step-by-step explanation:

See the attached for a graph. A graphing calculator makes this quick and easy.

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If you have to do it by hand, it can work well to start with an intercept point that is easy to find. In the first equation, that would be (3, 0); in the second, it is (0, -5).

Then find another point on the graph so you can draw a line through the points. You can change the x-value by the opposite of the y-coefficient, and the y-value by the x-coefficient, for example, to find a second point. Doing that would give (5, 1) as another point on the first line and (-1, -2) as another point on the second line.

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step-by-step explanation: