Can someone please help me with these algebra problems?
The directions are: Solve the equation or formula for the indicated variable.
m=ax+bx for x
8=mx+ax-2 for x
ax+bx-3=4 for x
Anything is helpful! Thanks.
For m=ax+bx for x you would use the distributive property to get
m=(a+b)x now divide both sides by (a+b) with the requirement that (a+b) is not 0.
For 8=mx+ax-2 for x, now add 2 to both sides, use the distributive property as above, and find x. Be sure to test the answer in the original equation.
For ax+bx-3=4 for x add 3 to both sides and use the distributive property as above. Be sure to show your work too.
Thank-you very much. Do you know if there are any restrictions/requirements in the two last answers? I think there are.
Yes, the same as the first. Anytime we have an equation and divide both sides by some quantity we should mention that that quantitiy must be non-zero. We should say this at least once in our solution, but sometimes our equation is such that all the values cannot be zero. In that case we can omit this statement.
Thanks again :)
I got
m/a+b=X
10/a+m=x
7/a+b+x all with the restrictions
Does that seem right?
m=ax+bx for x
8=mx+ax-2 for x
ax+bx-3=4 for x
Yes, that looks right. About the only thing I might suggest is that you use parentheses like this (a+b) for the denominators so it doesn't cause confusion. The requirement that a+b or a+m be non-zero could be written to the right of the equation. As I mentioned, if all of the variables were positive numbers say, then these restrictions could be ignored.
How do you combine like terms like in the problem (3m+5k)-(2m+10k)?
Use the associative and distributive properties to get
(3m+5k)-(2m+10k) = 3m+5k - 2m -10k =
(3m-2m) + (5k-10k) = m-5k
You should post this as a new question too. This is easy to miss after it's off page 1.
what is r +12 help me you are no help
To combine like terms in the problem (3m+5k)-(2m+10k), you can use the distributive property and simplify:
(3m+5k)-(2m+10k) = 3m + 5k - 2m - 10k
Next, rearrange the terms by collecting the like terms (the terms with the same variable):
= (3m - 2m) + (5k - 10k)
Simplify further by combining the coefficients of the like terms:
= m + (-5k)
So, the final answer is m - 5k.
Remember, you can always double-check your answer by substituting values for the variables and evaluating both the original expression and the simplified expression to see if they give you the same result.