Systems of Equations Substitution

Front

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

Back

The two lines intersect at one point.

Front

What are the characteristics of parallel lines in a system of equations?

Back

They have no solutions because they never intersect.

Front

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

Back

The two lines are the same line.

Front

What is the substitution method in solving systems of equations?

Back

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

Front

Solve the system using substitution: y = 2x + 3, x + y = 10.

Back

(2, 6)

Front

What is the solution to the system: x = 4y, 2x + y = 10?

Back

(2, 1)

Front

How can you tell if a system of equations has no solution?

Back

If the lines are parallel, they will never intersect.

Front

What does the term 'consistent' mean in relation to systems of equations?

Back

A consistent system has at least one solution.

Front

What does the term 'inconsistent' mean in relation to systems of equations?

Back

An inconsistent system has no solutions.

Front

Solve the following system using substitution: 3y - x = 7, y = 2x - 1.

Back

(3, 5)