- 1). Write out the two equations, one on top of the other. It does not matter which one goes where. For instance, have 2x + y = 4 on top, and have 3x + 2y = 12 on the bottom.
- 2). Solve each equation for y to put the equations in slope-intercept form. You should get y = -2x + 4 for the first equation, and y = -(2/3)x + 12 for the second.
- 3). Substitute x in both variables for a number of your choice and solve both equations. Record what you get for y and pair it with x; these are x and y coordinates. If we substitute 3 for x in both equations, we get y = -2 and y = 10, respectively. Do this at least two-to-three times per equation.
- 4). Plot points on a coordinate plane based on the coordinates you found in the previous step. Draw a line representing each equation that runs through the x and y coordinates representing it.
- 5). Find the point where the two lines intersect. The x and y coordinates of that point are the solutions for the system.
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