130 Chapter 2 Linear Equations in Two Variables and Functions A solution to a linear equation in two variables is an ordered pair that makes the equation a true statement. Determining Solutions to a Linear Equation For the linear equation 2x 3y 8, determine whether the ordered pair is a solution. 1 12, 42 b 4, 02 a. b. c. a1, 10 3 Solution: a. 12x 3y 8 The ordered pair 4, 02 indicates that and 21 x 4 y 0 42 3102 8 Substitute and into the equation. 1 8 0 8 4, 02 ✔ (true) The ordered pair makes the equation a true statement.The ordered pair is a solution to the equation. 2x 3y 8 12, 42 b. Test the ordered pair . 2122 x 2 y 4 3142 8 Substitute and into the equation. 16 8 12, 42 (false) The ordered pair does not make the equation a true statement.The ordered pair is not a solution to the equation. 3 2x 3y 8 2 c. Test the ordered pair . 2112 3a10 Substitute x 1 and y 10 3 . 3 2 10 8 2 ✔ (true) The ordered pair is a solution to the equation. Skill Practice Determine whether each ordered pair is a solution for the equation x 4y 8 . 2. 3. 4. 3. Graphing Linear Equations in Two Variables Consider the linear equation The solutions to the equation are ordered pairs such that the difference of x and y is 3. Several solutions are given in the following list: x y 3. a14, 3 2 1 14, 32 b 2, 12 11, 10 3 b 8 11, 10 4 1122 8 x 4 y 0. Example 2 1x, y2 Answers 2. Not a solution 3. Solution 4. Solution
miller_intermediate_algebra_4e_ch1_3
To see the actual publication please follow the link above