Solve the problem by graphing
4x-2y=22
6x+9y=-3

Change these equations into the equations of linear functions.
$$\left \{ {{4x-2y=22} \atop {6x+9y=-3}} \right. \\ \\ \left \{ {{-2y=-4x+22} \atop {9y=-6x-3}} \right. \\ \\ \left \{ {{y=2x-11} \atop {y=-\frac{2}{3}x-\frac{1}{3}}} \right.$$

Draw function graphs and read coordinates of the intersection.
$$\left \{ {{x=4} \atop {y=-3}} \right.$$

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