Accommodated Solving Systems of Linear Equations

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 if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Front

Solve the system: 4x - 6y = 12 and -2x + 3y = -6.

Back

Infinitely Many Solutions.

Front

Solve the system: x + 2y = -3 and x - y = -12.

Back

(-9, 3).

Front

Solve by elimination: 4x + 9y = 28 and -4x - y = -28.

Back

(7, 0).

Front

Solve by substitution: 4x - 3y = 5 and y = 2x - 3.

Back

(2, 1).

Front

Solve the system: -x + y = -13 and -8x - 4y = -8.

Back

(5, -8).