Solutions to Two Variable Linear Equations

To find the solution to the system of equations Tandy looked for opposites to zero each other out. What variable contains opposite coefficients and which method is Tandy using?

• The x-variables are opposites, and Tandy is using Elimination.

• The x-variables are opposites, and Tandy is using Substitution.

• The y-variables are opposites, and Tandy is using Elimination.

• The y-variables are opposites, and Tandy is using Substitution.

The ordered pair that satisfies all equations in the system.

• system of equations

• function

• graph

• solution of a system

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87

• 1.5x+0.5y=78.5
  1.5x+0.5y=87

• x+y=78.5
  1.5x+0.5y=87

• x+y=78.5
  x+y=87

Kayla solved the following system and found the solution to be (10, -9). x = -3y - 17 2x + 3y = -7 What would the graph of this system look like?

• A point on the coordinate plane

• Parallel Lines

• Coincident Lines (lines that graph one on top of the other)

• Lines that intersect at one point

What kind of lines have no solution to a system of equations

• Parallell Lines

• Overlapping lines

• Intersecting Lines

• Skew Lines

Write an equation in Standard Form.
A store sells t-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.

• 2x + 5y = 120

• 12x + 15y = 120

• 12 + 15y = 2x

• 12x + 15 = 120

If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is.

• 4

• 6

• 5

• 2

The geometrical representation of a linear equation

• Straight line

• Curve

• Parabola

• Either (b) or (c)

The equation x = 7, in two variables, can be written as

• x + 1. y = 7

• X + 0. y = 7

• x + 1. y = 7

• x + 0. Y = 7