You can add or subtract any quantity on both sides of an equation, without changing the equation's solution set. Just make sure you add or subtract the same thing on both sides.
The size of the quantities involved doesn't matter. As long as you add or subtract (or divide or multiply) the same number to or from both sides of the equation, then the two sides remain equal.
5y + 1 = 4y - 1 Subtract 4y from both sides of the equation. y + 1 = -1. Add 1 to both sides of the equation. y + 2 = 0 Subtract 2 from both sides of the equation. y = -2
N = 28 (you have to subtract 70 from both sides of the equation)
In any equation, regardless of the number adding or subtracting, multiplying or dividing, you must do the same to both sides. This ensures you are not changing the equation. If only one side was done, then the original equation has been altered and is no longer the same as it began. Changing both sides with the same values keeps all things equal.
You can add or subtract any quantity on both sides of an equation, without changing the equation's solution set. Just make sure you add or subtract the same thing on both sides.
The property is: If equals are subtracted from equals, the results are equal.
The size of the quantities involved doesn't matter. As long as you add or subtract (or divide or multiply) the same number to or from both sides of the equation, then the two sides remain equal.
5y + 1 = 4y - 1 Subtract 4y from both sides of the equation. y + 1 = -1. Add 1 to both sides of the equation. y + 2 = 0 Subtract 2 from both sides of the equation. y = -2
It was an equation to start with. That is, both sides were equal. So, if you do the same thing to each side they will still be equal. You can also add or subtract the same number from each side and they will be equal. As long as you treat both sides the same they will remain the alike -- that is, they will remain equal.
N = 28 (you have to subtract 70 from both sides of the equation)
In any equation, regardless of the number adding or subtracting, multiplying or dividing, you must do the same to both sides. This ensures you are not changing the equation. If only one side was done, then the original equation has been altered and is no longer the same as it began. Changing both sides with the same values keeps all things equal.
Let X = the number X + 2 = 3X+6 subtract x from both sides 2 = 2X +6 2X + 6 = 2 subtract 6 from both sides 2X = -4 divide by 2 X = -2 = the number
-3. 30/10x=0 <-Set up equation like this, then subtract 30 from both sides (10x=-30). Then divide both sides by 10 (x=-3).
The sign changes if you multiply/divide by a negative number. It stays the same if you add/subtract by a negative number.
The question can be represented as the equation, 2n + 5 = 4n + 3 where n is the unknown number. 2n + 5 = 4n + 3 : subtract 2n from both sides 5 = 2n + 3 : subtract 3 from both sides 2 = 2n : divide both sides by 2 1 = n The unknown number has been identified as 1.
2.4x + 3.1 = 1.2x - 4.1 Subtract 1.2x from both sides: 1.2x + 3.1 = - 4.1 Subtract 3.1 from both sides: 1.2x = - 7.2 Divide both sides by 1.2: x = -6