Solving Algebraic Equations?

Question

When solving algebraic equations, why is it necessary to follow the rule "What you do to one side of the equation, you must do to the other side"?

What other ways can i explain it using examples and stuff D; its a math assignment

Answer 1

If there is an equation... means the terms on the left and on the right are equal so to continue this equality u can only multiply add divide or subtract EQUAL quantities on both sides so equality is maintained.

cheers :)

Answer 2

First step -- isolate between the variables. for that reason, upload 3/y to the two components of the decrease equation. This leaves you with that equation interpreting a million/x = 3/2 + 3/y. Invert the two components, leaving x = a million/(3/2 + 3/y). Plug this value for x into the precise equation, which then will become 4/(a million/(3/2 + 3/y)) + a million/y = 5/3. yet a million/(a million/(3/2 + 3/y)) = 3/2 + 3/y, so multiplying this by ability of four supplies 12/2 + 12/y + a million/y = 5/3. putting all the y's on one component and all the numbers on the different supplies 12/y + a million/y = 5/3 - 12/2. including those supplies 13/y = (-6+5/3) = -18/3 + 5/3 = -13/3. for this reason y = -3. Plugging this value for y into the precise equation yields 4/x + a million/(-3) = 5/3 including a million/3 to the two components yields 4/x = 5/3 + a million/3 . or 6/3, or 2. on the grounds that 4/x = 2, x would desire to equivalent 2. Checking, utilising the two values, 4/2 + a million/(-3) = 5/3, and 2 - a million/3 = 5/3 a million/2 -(3/-3) = 3/2, and a million/2 + a million = 2.

Answer 3

This rule applies if you add,subtract, multiply or divide one side while solving an equation. If you add 5 to the left, you should do the same to the right to balance the equation.
e.g.
x-5=4
x-5+5=4+5
x+0=9
x=9

Answer 4

If you don't do to one side what you do to the other , the equation is false. You can't subtract five one side of the equation and add 5 to the other. You have to do it the way the book says.

Answer 5

If you don't, you no longer have a true equation. Picture real life, a playground teeter totter, one kid on each end, balanced.

Was an old mean trick for one kid to jump off while the other kid was up in the air. As Bill Cosby put in when he did a comedy routine about playground equipment, "a whole lot of kids never got to have a deep voice."

That's your equation when you don't do on one side what you do on the other.

Answer 6

You do to one side and to the other side because you need to keep the equation equal.

Answer 7

well to get the right answer you should do the step by step procedure...but if you don't do that...im pretty sure you will not get the right answer