Simplify 9x + 3y − 6 − 5x + 4y −3.(1 point)

5 answers

To simplify, combine like terms by combining the coefficients of x and y terms:

(9x - 5x) + (3y + 4y) + (-6 - 3) = 4x + 7y - 9
Simplify 9/11z − 4/11z.(1 point)
To simplify, combine the fractions:

(9/11z) - (4/11z) = (9 - 4)/(11z) = 5/11z
Simplify 3/10x + 1/6y + 3/10x + 3/6y. Be sure to reduce any fractions to the lowest terms.(1 point)
To simplify, combine the like terms:

(3/10x + 3/10x) + (1/6y + 3/6y) = 6/10x + 4/6y

To reduce the fractions to their lowest terms, we can simplify 6/10 and 4/6:

6/10 can be simplified to 3/5 by dividing both the numerator and the denominator by their greatest common factor which is 2.

4/6 can be simplified to 2/3 by dividing both the numerator and the denominator by their greatest common factor which is 2.

Therefore, the simplified expression is:

3/5x + 2/3y