linear systems - substitution method

Front

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

Back

The two lines are intersecting lines.

Front

Solve the system of equations using the substitution method: y=3x-8 and y=4-x.

Back

(3,1)

Front

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

Back

The graph consists of parallel lines.

Front

Solve the system of equations using the substitution method: y=2x+3 and y=5.

Back

(1,5)

Front

Solve the system of equations using the substitution method: y=4x-1 and y=2x+5.

Back

(3,11)

Front

What is the substitution method in solving linear systems?

Back

It involves solving one equation for one variable and substituting that expression into the other equation.

Front

If two lines are parallel, what can be said about their equations?

Back

They have the same slope but different y-intercepts.

Front

Solve the system of equations using the substitution method: y=5x+2 and y=3x-4.

Back

(-2,0)

Front

What is the graphical representation of a consistent system of equations?

Back

The lines intersect at exactly one point.

Front

Solve the system of equations using the substitution method: y=6-x and y=2x+2.

Back

(2,4)