Simplify 9x + 3y − 6 − 5x + 4y −3 .(1 point)
The simplified expression is 4x + 7y - 9.
Simplify 9/11z − 4/11z .(1 point)
The simplified expression is 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 the expression, we can combine like terms by adding the coefficients of x and y:
3/10x + 1/6y + 3/10x + 3/6y
To add the fractions, we need to have a common denominator. The least common multiple (LCM) of 10 and 6 is 30.
Multiplying the first term by 3/3 and the second term by 5/5, we get:
3/10x + 1/6y + 3/10x + 3/6y
= (9/30)x + (5/30)y + (9/30)x + (15/30)y
Now we can add the fractions:
= (9/30 + 9/30)x + (5/30 + 15/30)y
= (18/30)x + (20/30)y
Finally, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 6:
= (3/5)x + (2/3)y