Simplify 310x + 16y + 310x + 36y . Be sure to reduce any fractions to the lowest terms
The given expression is:
310x + 16y + 310x + 36y
When like terms are added or subtracted, the coefficients are combined while the variables remain the same.
Combining the like terms:
(310x + 310x) + (16y + 36y)
= 620x + 52y
Therefore, the simplified expression is 620x + 52y.
Simplify 3/10x + 1/6y + 3/10x + 3/6y . Be sure to reduce any fractions to the lowest terms
The given expression is:
3/10x + 1/6y + 3/10x + 3/6y
To add or subtract fractions, we need to have a common denominator. In this case, the least common denominator (LCD) is 30.
Next, we need to rewrite each fraction with the LCD:
(3/10)(3/3)x + (1/6)(5/5)y + (3/10)(3/3)x + (3/6)(5/5)y
Simplifying each term:
(9/30)x + (5/30)y + (9/30)x + (15/30)y
Combining like terms:
(9/30)x + (9/30)x + (5/30)y + (15/30)y
= (18/30)x + (20/30)y
Now, we can reduce the fraction by dividing the numerator and denominator by their greatest common divisor, which is 6:
(3/5)x + (2/3)y
Therefore, the simplified expression is (3/5)x + (2/3)y.
To simplify the expression 310x + 16y + 310x + 36y, we can combine like terms. Like terms have the same variable raised to the same power. In this case, the like terms are the ones with the variable x and the ones with the variable y.
Starting with the x terms, we have:
310x + 310x = (310 + 310)x = 620x
Next, let's simplify the y terms:
16y + 36y = (16 + 36)y = 52y
Putting it all together, the simplified expression is:
620x + 52y