Math 1 EL Unit 4 Practice Test Systems

A system of equations is a set of two or more equations with the same variables. The solution to the system is the set of values that satisfy all equations simultaneously.

To solve a system of equations by graphing, plot each equation on the same coordinate plane. The point where the lines intersect represents the solution to the system.

A consistent system of equations has at least one solution. This can be either one unique solution or infinitely many solutions.

An inconsistent system of equations has no solutions, meaning the lines represented by the equations do not intersect.

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.

Dependent equations are equations that represent the same line, resulting in infinitely many solutions.

Independent equations are equations that represent different lines, resulting in exactly one solution.

The solution can be found by graphing both equations and identifying the intersection point, which is (3, 0).

Identify the variables, translate the relationships and conditions into equations, and ensure the equations represent the same scenario.