Solve Systems of Equations Vocab

2 or more linear equations with the same set of variables

• System
• System of Equations
• Linear Equations
• Quadratic Equations

a method to solving a system of equations using the coordinate grid 

• Systems by Graphing
• Systems by Substitution
• Systems by Elimination
• Systems by Drawing

a method of solving a system of equations by taking a variable out and replacing it with an expression.

• Systems by Graphing
• Systems by Substitution
• Systems by Elimination
• Systems by Drawing

a solution to a system that results in one x value and one y value that will satisfy both equations 

• No Solution
• One Solution
• Infinite Solutions
• Beyond Solutions

a solution to a system that results in an unlimited amount of x values and an unlimited amount of y values that will satisfy both equations

• No Solution
• One Solution
• Infinite Solutions
• Beyond Solutions

a solution to a system of equations that results in no x or y value that will satisfy both equations

• No Solution
• One Solution
• Infinite Solutions
• Beyond Solutions

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

• x+y=134
  x+y=120
• 3x+3y=134
  4x+3y=120
• 4x+3y=134
  3x+3y=120
• 7xy=134
  6xy=120

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)