How would you solve the simultaneous equations y=x+1 and y=4x-2

You could solve this equation by using substitution, since both equations are in a' y = ' form. You can substitute the first equation into the first, as they both equal y, they both equal each other : x+1=4x-2 . You want to get all the x terms on one side and all the other numbers on the other side of the equals sign. Subtract x from both sides of the equation, to get 1=3x-2. Then add 2 to both sides to get 3=3x. To find x, you can divide both side by 3, so x=1. To finish off solving the simultaneous equations, sub the x=1 back into one of the original equations: y=1+1, so y=2. To check, you can sub your x and y values into the other equation to see if it still makes sense: 2=(4 x 1) -2. This makes sense.