Solving System of Equations by Graphing & Substitution

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

What is the correct setup to solve the system of equations: -7x - 2y = -13 and x = 2y + 11?

Back

-7(2y + 11) - 2y = -13

Front

Solve the system by substitution: y = 4x + 3 and 2x - 3y = 21.

Back

The solution is (-3, -9).

Front

Solve the system: y = -1x - 5 and 4x - 8y = 4.

Back

The solution is (-3, -2).

Front

Solve the system: x = -3y - 17 and 2x + 3y = -7.

Back

The solution is (10, -9).

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system has no solutions.

Front

What is the substitution method in solving systems of equations?

Back

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

Front

What is the graphical method for solving systems of equations?

Back

The graphical method involves graphing each equation on the same set of axes and identifying the point(s) of intersection.