Simplify 12e − 5f − 7e +3f
12e - 5f - 7e +3f can be simplified by combining like terms:
(12e - 7e) + (-5f + 3f)
= 5e - 2f
9x + 3y − 6 − 5x + 4y − 3 can be simplified by combining like terms:
(9x - 5x) + (3y + 4y) + (-6 - 3)
= 4x + 7y - 9
To simplify 9/11z - 4/11z, we can combine the fractions since they have the same denominator:
(9 - 4) / 11z
= 5/11z
To simplify 3/10x + 1/6y + 3/10x + 3/6y, we first combine like terms:
3/10x + 3/10x + 1/6y + 3/6y
= (3/10x + 3/10x) + (1/6y + 3/6y)
= (6/10x) + (4/6y)
Next, let's simplify the fractions:
6/10x = (3/5)(2/2)(3/3x) = 6/15x = 2/5x
4/6y = (2/2)(2/3y) = 4/6y = 2/3y
So, the simplified expression is 2/5x + 2/3y.
To simplify 3/10x + 1/6y + 3/10x + 3/6y, we can combine the like terms:
(3/10x + 3/10x) + (1/6y + 3/6y)
= (6/10x) + (4/6y)
Now, let's simplify the fractions:
6/10x = (3/5)(2/2)(3/3x) = 6/15x = 2/5x
4/6y = (2/2)(2/3y) = 4/6y = 2/3y
Therefore, the simplified expression is 2/5x + 2/3y.