Subtracting 4x+2y=21 from 4x-6y=17 will cancel out the x terms and result in -8y=-4. Then, dividing both sides by -8 results in y=1/2. In order to find x, plug 1/2 for y in either equation. If we use the first equation, the new equation looks like: 4x-6(1/2)=17. Multiplying -6 and 1/2 will simplify the equation to 4x-3=17. Then, adding three to both sides results in 4x=20. The last step is to divide both sides by 4 in order to get x by itself. x=5. So, the coordinate point that satisfies both equations is (5,1/2).
