Solve the simultaneous equations 7x - 2y = 22 and 5x + 3y = 29

So we're going to solve this question using the elimination method. Now we can see that none of the x or y terms are the same in the 2 equations, so we have to make them the same. The easiet way to do this would be to find the LCM of the 2 coefficients of x, which is 35.

So:

1. 7x-2y = 22    (Multiply equation by 5)

2. 5x+3y = 29     (Multiply equation by 7)

This gives us:

3. 35x-10y = 110

4.35x + 21y = 203

Solving equations 3 and 4 using the elimination method gives us y=3.  Substituting this value for y into equation 2 gives us x=4.