Test Solve Systems of Linear Equations using either Method

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean to solve a system of linear equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is the graphical method for solving systems of linear equations?

Back

Plotting each equation on a graph and identifying the point(s) where they intersect.

Front

What is the substitution method in solving systems of linear equations?

Back

Solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method in solving systems of linear equations?

Back

Adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

How do you determine if a system of equations has no solution?

Back

If the lines represented by the equations are parallel and never intersect.

Front

How do you determine if a system of equations has infinitely many solutions?

Back

If the equations represent the same line, meaning they overlap completely.

Front

What is the solution to the system of equations: y = -4x + 5 and y = 3x - 16?

Back

(3, -7)

Front

What is the solution to the system of equations: 2x − 3y = −1 and y = x − 1?

Back

(4, 3)

Front

What is the solution to the system of equations: y = 8x + 1 and y = 6x + 3?

Back

(1, 9)