Simplify 9x + 3y − 6 − 5x + 4y −3.(1 point)
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
To simplify the expression 9x + 3y - 6 - 5x + 4y - 3, we can combine like terms.
First, let's combine the x terms: 9x - 5x = 4x.
Next, let's combine the y terms: 3y + 4y = 7y.
Now, let's combine the constant terms: -6 - 3 = -9.
Therefore, the simplified expression is 4x + 7y - 9.
To simplify the given expression, we need to combine like terms. Like terms are terms that have the same variable raised to the same exponent.
The expression is: 9x + 3y - 6 - 5x + 4y - 3
Let's group the x-terms and y-terms together:
(9x - 5x) + (3y + 4y) - (6 + 3)
Combine the x-terms: 9x - 5x = 4x
Combine the y-terms: 3y + 4y = 7y
Combine the constants: -6 - 3 = -9
The simplified expression is: 4x + 7y - 9.