Question

Solve the following equations for x and y. Any method can be used.

Answer 1

This is a 2 x 2 equation system: (First, let's put all variables on one side)

$2x-3y=13x-4y\Rightarrow2x-13x=-4y+3y\Rightarrow-11x=-y$$\begin{gathered} y=11x \\ y=\frac{-3}{2}x \end{gathered}$

So, to solve this problem is to find the point (xo,yo) that satisfies both equations, this means a point that intersects those two lines. In this case, we are going to use a visual help:

As you can see, the lines are intersected in the point (0,0). lines are intersected in the point (0,0). Finally, the answer is x=0, y = 0