Solve for variable 3x = 6 7x = -21 Do Now Solve for variable 3x = 6 7x = -21
Solving Two Step Equations Rules Combine like terms and simplify anything you can Add or subtract constant from both sides (do opposite) Multiply or Divide coefficient from both sides (get variable by itself, do opposite) Solve for variable Substitute answer back in to original problem to check answer
Solving Two Step Equations Example 1 2x – 3 = 7 +3 +3 (Step 2) 2x = 10 (Step 3) 2 2 x = 5 (Step 4) Check 2 (5) – 3 = 7 10 – 3 = 7 7 = 7 ✔ Step 1 – Can we simplify? Step 2 – what is the constant? (-3) Add 3 to both sides of the equation Step 3 – what is the coefficient (2) Divide 2 by both sides of the equation Step 4 Solve Step 5 Check
Solving Two Step Equations Example 2 5x + 8 = 43 -8 -8 5x = 35 5 X = 7 Check 5(7) + 8 = 43 35 + 8 = 43 43 = 43 ✔ Step 1 – Can we simplify? Step 2 – what is the constant? (8) Subtract 8 to both sides of the equation Step 3 – what is the coefficient (5) Divide 5 by both sides of the equation Step 4 Solve Step 5 Check
Solving Two Step Equations Example 3 -2x + 6 = 10 Step 1 – Can we simplify? Step 2 – what is the constant? Do we add or subtract? Step 3 – what is the coefficient? Do we multiply or divide Step 4 Solve Step 5 Check
Solving Two Step Equations Example 4 3x + 6 = 12 Step 1 – Can we simplify? Step 2 – what is the constant? Do we add or subtract? Step 3 – what is the coefficient? Do we multiply or divide Step 4 Solve Step 5 Check
Solving Two Step Equations On your Own Equation Check 6x + 12 = - 24 -3x – 10 = 20 4x + 8 = 12 2x - 4 = 8