Solve the simultaneous equations x+2y=4 and x-3y=6

This can be solved in two ways, by substitution or by elimination.Firstly, by substitution, rearrange the first of the two equations in terms of x by subtracting 2y from both sides to get x=4-2y. Then plug that into the second equation. (4-2y) -3y =6 now expand the bracket to get 4 -5y =6. Collect the numbers on the right hand side by subtracting 4 from both sides. -5y = 2 and then divide by -5 to get y = -2/5. Now plug that back into either of the original equations. x +2(-2/5)=4 and expand the bracket. x -4/5=4 and then rearrange the expression to get x= 24/5.This could also by solved by elimination by subtracting the second equation from the first one to eliminate x: 5y=-2. Then divide both sides by 5 to get y=-2/5 and substitute back in as previously described.