Systems of Equations

Front

If the solution is infinitely many, the lines will ________?

Back

overlap each other

Front

Solve the system of equations: 7x + 4y = 12 and x + 2y = -4. What are the coordinates?

Back

(4,-4)

Front

Solve the system of equations: 2x - 3y = 6 and 7x - 3y = -9. What are the coordinates?

Back

(-3,-4)

Front

What is the solution to the system of equations graphed by Buzz? (-1, 4), (1, -4), (-4, 1), (4, -1)

Back

(1, -4)

Front

Which system of equations has one solution?

Back

A system where the lines intersect at exactly one point.

Front

What is a system of equations?

Back

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

Front

What does it mean for two lines to be parallel in a system of equations?

Back

They have no solutions because they never intersect.

Front

What is the graphical representation of a system of equations?

Back

The intersection point(s) of the lines representing the equations.

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 a variable and substituting it into the other equation.