Review: Writing & Solving Systems of Equations

Front

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

Back

Same Line

Front

What is the value of y when solving this system: -2x + 8y = 13 and -2x + 4y = 17?

Back

-1

Front

Write a system that you can solve to find the number of shirts which both companies charge the same amount: Company A charges $9.99 per shirt plus a setup fee of $55, and Company B charges $7.99 per shirt plus a $75 fee.

Back

y = 9.99x + 55 and y = 7.99x + 75

Front

What does the solution of a linear system tell you?

Back

The point of intersection

Front

What is the solution to the following system: -2x + y = 4 and 3y = 6x + 12?

Back

Infinitely Many Solutions

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 no solutions.

Front

How can you determine if a system of equations has a unique solution?

Back

If the lines intersect at exactly one point.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines representing the equations.

Front

What is substitution in solving systems of equations?

Back

Replacing one variable with an expression from another equation.