Review: Writing & Solving Systems of Equations

Front

What does the solution of a linear system tell you?

Back

The point of intersection.

Front

The difference of a and b is 3. The sum of the variables is 13. Find the numbers.

Back

a = 8, b = 5.

Front

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

Back

Infinitely Many Solutions.

Front

What is the solution to a system of equations?

Back

One Solution, No Solution, or Infinitely Many Solutions.

Front

How many solutions does the following system have: y = -3x + 10 and y = -3x - 7?

Back

No Solution.

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 solution.

Front

What does it mean if two lines intersect at one point in a system of equations?

Back

There is one unique solution.

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.