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Q: What to do when the coefficients of either variable are different?
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When solving for a variable what should the coefficients be?

The coefficients can be any numerical constants.


How do you use variable in an addition or subtraction?

well, if you want to add apples to bananas you can't do that it's the same with variables, the coefficients can be different but to add and subtract the variables have to be the same for ex: you can't do 4x+3y because they have different variables you can do 4x+3x because they have the same variables all you do is add the coefficients and keep the variable so you would get 7x


What is a variable divided by the coefficient that will equal 7?

Any variable divided by coefficients can equal 7 - provided the variable can take the appropriate value.


How do you solve multiplication with like terms?

Just multiply the coefficients, leave the variable the same, and add the exponents.


What are the steps and rules for adding and subtracting monomials?

A monomial is a polynomial that has just one term. So to add or subtract monomials, is the same as we add or subtract like terms (terms that have exactly the same variable part). Since we are dealing with monomials, the restriction is that the exponent(s) of the variable(s) must be positive integer(s). Examples of monomials: 10xy, -5xy2, -3x2, 3w3z6, -7xy, -4x2, 2xy2, 9w3z6. So, how to add or subtract them? First detect where the like terms (monomials) are, then group them (write them next to each other), then combine (ad or subtract their coefficients, and write next to the result the common variable part). 10xy -7xy = 3xy (subtract since the coefficients have different sign). -5xy2 +2xy2 = -3xy2 (subtract since the coefficients have different sign). -3x2 -4x2 = -7x2 (add because the coefficients have the same sign). 3w3z6 + 9w3z6 = 12w3z6 (add because the coefficients have the same sign).