Solve the following simultaneous equations: (1) 4x+y=7 and (2) 3x+2y=9

This question can be answered by the elimination method. I will choose to eliminate 'y' in this case. Firstly, multiply equation (1) by 2, resulting in 8x+2y=14. Now we can subtract eqaution (2): 3x+2y=9 from equation (1): 8x+2y=14. This results in 5x=5, showing we have eliminated 'y'. Both sides of the equation can be divided by 5. giving x=1. Next, substitute x=1 into equation (1): 41+y=7, so y=3. This means the answer is x=1 and y=3. To check our answer is correct, substitute these values for x and y into equation (2): 31+2*3=9, which gives 9=9 showing us that our answer is correct.