Linear Equations in Two Variables: Solutions to 2-variable equations - Questions | Saylor Academy

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?

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?

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?

A. Only $(3, 2)$

B. Only $(-3, 3)$

C. Both $(3, 2)$ and $(-3, 3)$

D. Neither

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