How do you simplify this problem?
(x + 4y − 5z) − (x − 3y + 6z)
(x + 4y − 5z) − (x − 3y + 6z)
7y - 11z
The problem can't be made any simpler.
The expression, however, can be simplified by collecting like terms:
x(1-1) + y(4+3) + z(-5-6)
0 + 7y - 11z
7y-11z
or, maybe it would be simpler to ditch the parens and then reorder the variable terms:
x+4y-5z-x+3y-6x
x-x +4y+3y -5z-6z
7y - 11z
To simplify this problem, you can start by distributing the negative sign to each term inside the parentheses:
(x + 4y − 5z) − (x − 3y + 6z)
= x + 4y − 5z - x + 3y - 6z
Next, you can combine like terms by adding or subtracting coefficients of variables that are the same. In this case, for terms with "x", "y", and "z" variables:
x - x = 0 (the x terms cancel out)
4y + 3y = 7y
-5z - 6z = -11z
Thus, the simplified expression is:
7y - 11z