Linear Equations in Two Variables

Topics in this chapter

• Equation Forms and Concepts
• Solution Pairs and Verification
• Graphs, Coordinates, and Intercepts
• Slope and Linear Variation
• Forming Equations from Problems
• Simultaneous Conditions and Substitution

Cheat sheet

Practice questions

1. Question 1Q-25664B

   Which of the following is a linear equation in two variables?

   1. A.2x + 3y^2 = 5
   2. B.x/2 + y/3 = 4
   3. C.xy + 2 = 0
   4. D.x^2 + y = 6
   See the answer and solution
2. Question 2Q-558B98

   How many solutions does the linear equation $2x + y = 7$ have?

   1. A.Only one solution
   2. B.Two solutions
   3. C.Infinitely many solutions
   4. D.No solution
   See the answer and solution
3. Question 3Q-1A8F99

   If the point $(3, 4)$ lies on the graph of the equation $3y = ax + 7$, find the value of $a$.

   1. A.5/3
   2. B.3/5
   3. C.2
   4. D.4/3
   See the answer and solution
4. Question 4Q-BE47AB

   The equation $x = 5$, when expressed as a linear equation in two variables, can be written as:

   1. A.1x + 0y - 5 = 0
   2. B.0x + 1y = 5
   3. C.1x + 1y = 5
   4. D.5x + 0y = 1
   See the answer and solution
5. Question 5Q-3EDCC6

   Which of the following points lies on the line represented by the equation $2x - 3y = 6$?

   1. A.(3, 2)
   2. B.(0, -2)
   3. C.(6, 0)
   4. D.(-3, 2)
   See the answer and solution