Work out the values of x and y using the equations 2x + 3y = 18 and x + y = 6

First, we need to identify what type of question this is. Since there are two equations with two unknown values, we can conclude this is a simultaneous equation problem. The fastest way to solve the question is by eliminating one of the unknown values: x or y, then after we find out what x or y is, we can then use this information to find what the other unknown value is. First step: We need to label our equations so the subsequent steps will be easier to follow. 2x + 3y = 18 (1) x + y = 6 (2) Second step: using (2), we derive x=6-y (3) Third Step: We substitute (3) into (1), giving (6-y)*2 +3y=18 => 12-2y+3y =18 => 12+y=18 => y=6Fourth Step: using (3), x=6-6=0 Final Step: Final check by substituting the values we found into (1) and (2) to verify our answers.