Page 208

miller_intermediate_algebra_4e_ch1_3

248 Chapter 3 Systems of Linear Equations and Inequalities Using the Substitution Method to Solve a System of Linear Equations Solve the system by using the substitution method. 3x 4y 9 1 3 1 3 1 3 x 1 3 y 2 y 6 4y 9 y 2 132 2 x 5y 15 y 3 3x 4y 9 x y 3 x 1 2 x ✔ True ✔ True Solution: x 1 1 3 y 2. The solution set is 511, 326. Skill Practice Solve by using the substitution method. 2. x 2y 3 4x 2y 0 1 1 2 3 12 9 Step 1: In the second equation, x is already isolated. Step 2: Substitute the quantity for x in the other equation. Step 3: Solve for y. Now use the known value of y to solve for the remaining variable x. Step 4: Substitute into the equation Step 5: Check the ordered pair (1, 3) in each original equation. 1 1 3 132 2 3112 4132 9 x 1 3 3x 4y 9 y 2 1 3 3a y 2b 4y 9 y 2 x 1 3 y 2 Example 2 ¶ Answer 2. {(1, 2)}


miller_intermediate_algebra_4e_ch1_3
To see the actual publication please follow the link above