Three Ways To Solve

 

 

When solving a system of equations, there are three possible methods: graphing, substitution, and elimination. To represent this, I solved the system 4x + 3y = -6 and x + 3y = 21 with each of the different methods. After solving, I think that the graphing method was the easiest to use. This is because all I needed to do was translate the equations into slope-intercept form and graph them to find the point of intersection. The most difficult method to use was substitution because it had the most steps. First I needed to convert the equations, then substitute -1/3x + 7 in for y to solve for x, and finally solve for y. Regardless of which method I used, my solution was consistently (-9,10).

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