Solving Multi-Step Equations (2-3 and 2-4)
*All like terms must be combined! Ex) 19 – x – x + 7 = - 12 (19 + 7) + (-x + -x) = -12 26 + -2x = -12 -26 -26 −2𝑥 −2 = −38 −2 x = 19 You Try: -23 = -2a – 10 + a 1st: combine like terms 2nd: Use inverse operations to isolate the variable and n + 5(n – 1) = 7
Solving Equations with variables on both sides 5x + 2 = 2x + 14 - 2 - 2 5x = 2x +12 -2x -2x 3x = 12 ÷3 ÷3 x = 4 1st: Use Inverse Operations to move a term to the other side of the equals sign to combine like terms. 2nd: Use inverse operations to solve for the variable.
An equation that is true for EVERY possible value of the variable is an Identity 10x + 12 = 2(5x + 6) 10x + 12 = 10x + 12 *both sides of the equation sign are exactly the same So ANY value of x would work
An equation that has two unequal quantities has NO SOLUTION 9m – 4 = -3m + 5 + 12m 9m – 4 = 9m + 5 -9m -9m -4 ≠ 5
You try: 4p + 2 = 3p -7 2(5x – 1) = 3(x + 11) 2x + 7 = -1(3 – 2x)