Solve the Systems of Equations Substitution and Graphing

Front

What does it mean if a system of linear equations has one solution?

Back

The two lines intersect at one point.

Front

What is the solution to the system: y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

Solve the system: y = 4x - 10 and y = 3x - 5.

Back

(5, 10)

Front

What is the solution when graphing the system of equations?

Back

(-1, 4)

Front

Solve the system: y = 8x + 1 and y = 6x + 3.

Back

(1, 9)

Front

What are parallel lines in the context of systems of equations?

Back

Lines that never intersect and have no solutions.

Front

What does it mean if two lines are the same line in a system of equations?

Back

The system has infinitely many solutions.

Front

How do you solve a system of equations using substitution?

Back

Isolate one variable and substitute it into the other equation.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines represent the solutions.

Front

What is the first step in graphing a linear equation?

Back

Identify the y-intercept and slope.