Guidelines Equations must be balanced. You must respect the laws of equations. The goals is to bring variable on the left and number to the right. Coefficient (or number) of variable +1. For example, 1x = 5; just put x = 5
Examples 1.#1) Solve: x = 5 + 2 x = 7 2.x = 5 (2 + 7) – ( 7 – 3) x = 10 + 35 – 7 + 3 Remember a minus before a bracket changes the sign of everything in the bracket x = 41
Guidelines con’t Whatever you do to one side, you must do to another. If you add 5 to one side, you must add 5 to the other side. If you have a number near the variable, always divide it by that number. For example 2x = 10; divide both by 2. x = 5 If -5x = 10; divide by -5; x = -2 When it changes signs, it changes signs
Example 4x + 1 = 13 4x = 13 - 1 (the 1 changed sides so it changes signs) 4x = 12 (divide both sides by 4) x = 3
Verification If you want to guarantee that you have the right answer you should verify. To verify: replace the number into the letter in the question. 4x + 1 = 13 (Original question) & x=3 4 (3) + 1 = 13 12+1=13 13=13 This is true; you have the right answer.
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