Solving Systems of Linear Equations

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 equation representing the cost of shirts from Company A that charges $9.65 per shirt plus a $43 setup fee?

Back

y = 9.65x + 43

Front

What is the equation representing the cost of shirts from Company B that charges $8.40 per shirt plus a $58 setup fee?

Back

y = 8.40x + 58

Front

Given the system of equations 2x - y = 4 and y = -2x + 8, what is the value of x in the solution?

Back

x = 3

Front

What is the value of the y-coordinate of the solution to the system of equations x - 2y = 1 and x + 4y = 7?

Back

The y-coordinate is 1.

Front

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

Back

The solution is (1, 9).

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 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.