Select two equations to solve when you are given more than two equations from the same system. Equations from the same system will have the same points of intersection.
Rearrange one of the equations to equal a single unknown variable. In the equation, y + 3 = 5 + x, find the solution to x in terms of y: x = y - 2. Five has been subtracted from both sides of the equation.
Substitute the single unknown variable equation into the second chosen equation. In the equation, 2x = y + 2, substitute the value of x, which is y - 2, for x: 2 (y - 2) = y + 2.
Solve the substituted equation to find the value of one of the unknown variables. Given the equation, 2 (y - 2) = y + 2, there is only one unknown variable and it can be solved: y = 6.
Substitute the value of the solved variable into either one of the original equations with two unknown variables to create an equation with one unknown variable. In the original equation, y + 3 = 5 + x, replace y with the solved variable y = 6: 6 + 3 = 5 + x.
Solve the single unknown variable equation to find the value of the second unknown variable. Given the equation, 6 + 3 = 5 + x, solve for x by subtracting 5 from each side: x = 4.