Solve the simultaneous equations: 3y + 2x = 10, 4x - y + 3 = 2

The first step whenever you are given an equation is to group like terms. By this I mean put all the terms with the same letter next to it together and, in this case, the numbers without a letter. For the equation, 4x-y+3=2, subtract 3 from both sides to leave you with 4x-y=-1. Now you have 2 equations with all terms grouped, write them out one above the other with the terms all lined up [show on whiteboard]. This will make it much easier for yourself. The trick now is spotting where a term from either equation can be manipulated to match up. In this case, I think the easiest way would be to multiply the first equation by 2 to get 4x in both of the equations. Write out the new 2 equations in the same way as before and subtract one from the other [show on whiteboard]. This will be a little bit trickier because you have to subtract negative values- but remember when you have the same signs it gives a positive. This leaves you with the equation 7y=21. Divide both sides of the equation by 7 to find y=3. Sub this value of y back into the first equation to give you 9+2x=10. Subtract 9 from both sides to give 2x=1. Then divide both sides by 2 to find x=0.5. You now have your solution, y=3 and x=0.5.