Linear Equations in Two Variables
While the solution of a linear equation in one variable is one value of x, the solution of an equation in two variables is an ordered pair of values, x and y. When these solutions are plotted on the coordinate plane, they form a line (hence the term "linear" equation). Watch this lecture series, which explains how to find and graph the solutions of a linear equation in two variables. Complete the interactive exercises.
Solutions to 2-variable equations - Questions
1. Which ordered pair is a solution of the equation?
\(y=7 x-3\)
Choose 1 answer:
A. Only \((1, 4) \)
B. Only \((-1, -4) \)
C. Both \((1, 4) \) and \((-1, -4) \)
D. Neither
2. Which ordered pair is a solution of the equation?
\(y=-2 x+5\)
A. Only \((2, -9) \)
B. Only \((-2, 9) \)
C. Both \((2, -9) \) and \((-2, 9) \)
D. Neither
3. Which ordered pair is a solution of the equation?
\(2 x+4 y=6 x-y\)
A. Only \((4, 5) \)
B. Only \((5, 4) \)
C. Both \((4, 5) \) and \((5, 4) \)
D. Neither
4. Which ordered pair is a solution of the equation?
\(-x-4 y=-10\)
A. Only \((3, 2) \)
B. Only \((-3, 3) \)
C. Both \((3, 2) \) and \((-3, 3) \)
D. Neither