Solving Linear Systems (Substitution)

A linear system is a collection of two or more linear equations involving the same variables.

To solve a linear system means to find the values of the variables that satisfy all equations in the system simultaneously.

The substitution method is a technique for solving a system of equations by solving one equation for one variable and substituting that expression into the other equation.

To isolate a variable, you perform algebraic operations to get the variable on one side of the equation and all other terms on the opposite side.

You replace y in the other equation with the expression 2x - 4.

The first step is to solve one of the equations for one variable, if it is not already solved.

When x = -1, y = 2(-1) - 4 = -2 - 4 = -6.

The solution is (-1, -6).

A solution is a point of intersection if it represents the coordinates where the graphs of the equations meet.

The graphical representation of a linear equation is a straight line on a coordinate plane.