0
Easy. Take the following equation
6 = 6
This is the same as X = 6. It is also the same as X = Y + 1, with x = 6 and y = 5.
In any of the cases, you need to reduce both sides by the same amount for everything to balance out.
6 - 1 = 6 - 1
5 = 5
X - 1 = Y
6 - 1 = 5
5 = 5
X - 1 = 6 - 1
6 - 1 = 6 - 1
5 = 5
X + Y = Y + 6
X + Y - Y = Y + 6 - Y
X = 6
The easiest proof is the first one
6 = 6
This is a true equation and all the proof one needs that you can't remove different numbers from both sides and still end up with the answer being true.
Because the two sides must equal each other, they must be kept to equal each other else they will not at all equal each other. So if you subtract 2 off one side you must subtract 2 off the other side or you will void the equal(=) sign.
What else can I help you with?
Can you subtract the same number from both sides of an equation?
Yes, it is required to figure out some equations.
What kind of quantities can be added or subtracted from both sides of an equation?
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.
Can large quantities can always be added or subtracted from both sides of an equation?
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 plus 1 equals 4y - 1?
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 + 70 = 98?
N = 28 (you have to subtract 70 from both sides of the equation)
Can you subtract the same number from both sides of an equation?
Yes, it is required to figure out some equations.
What is the property that you can subtract the same number from both sides of an equation the new equation will have the same solution?
The property is: If equals are subtracted from equals, the results are equal.
What kind of quantities can be added or subtracted from both sides of an equation?
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.
Can large quantities can always be added or subtracted from both sides of an equation?
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 plus 1 equals 4y - 1?
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
Why can you multiply or divide both sides of an equation by the same number and still have the equation be true?
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 + 70 = 98?
N = 28 (you have to subtract 70 from both sides of the equation)
Why do you have to add or remove the same number of tiles from both sides of an equation when you perform a transformation?
we should do this because.... you have it! its an equation.... watever u add or subtract on the left hand side you should add or subtract on the right hand side cause only then will the resulting new equation be satisfied and will produce the desired answer
Does an inequality sign change in an equation when both sides are multipled or divided by negative number?
The sign changes if you multiply/divide by a negative number. It stays the same if you add/subtract by a negative number.
Translate the sum of a number and 2 equals 6 added to three times the number into an equation?
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
How do you find the number of diagonals in a shape?
you subtract 3 from the number of sides then multiply that by the number of sides divided by 2
Why do you subtract 6 from both sides?
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.
