What I learned this week is how to eliminate by adding the equations, first you are given 2 equations to start with like x + 2y = 3 and -x + 3y = 2, to find x you have to multiply a number to cancel out the y value, so for this case you times the first equation by 3 and the second by -2, now both y values are +6 and -6, that becomes 0, after you add the 2 x values together and becomes 5, now you divide both sides by 5 and equals 1, to find y the x in this equation is already have a 0 value, now you do you take the y value that u multiplied already and divide both sides by 5, so now y value is 1, the coordinates is (1,1)