Systems of Equations

Front

Solve for x and y: 3x + 2y = 16 and 7x + y = 19

Back

(2, 5)

Front

If a system of linear equations has one solution, what does this mean about the two lines?

Back

Intersecting lines

Front

What is the solution to the system: 2x + 3y = 6 and x - y = 1?

Back

(1, -1)

Front

Give the solution to the system: x + y = 4 and x - y = 2.

Back

(3, 1)

Front

Parallel lines never intersect because...

Back

they have the same slopes.

Front

What is a system of equations?

Back

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

Front

What does it mean if two lines are parallel in a system of equations?

Back

They have the same slope but different y-intercepts.

Front

What is the graphical representation of a solution to a system of equations?

Back

The point where the lines intersect.

Front

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

Back

If the lines are parallel.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for one variable and substituting it into the other.