Simplify by combining like terms. 2/8x+3/10y−5/8x+4/10y (1 point) Responses 7/10x+7/8y 7 tenths x plus 7 eighths y −38x+710y negative 3 eighths x plus 7 tenths y 14/18xy 14 over 18 x y 4/18xy
To simplify the expression, we need to combine like terms.
The like terms in the expression are the terms with "x" and the terms with "y".
The "x" terms are: 2/8x and -5/8x
To combine them, we add their coefficients: 2/8 + (-5/8) = -3/8x
The "y" terms are: 3/10y and 4/10y
To combine them, we add their coefficients: 3/10 + 4/10 = 7/10y
Therefore, the simplified expression is: -3/8x + 7/10y
So, the correct answer is: 7/10x + 7/8y
To simplify the given expression by combining like terms, we add the coefficients of similar variables.
The like terms in the expression are the terms with the same variables, which are 2/8x and -5/8x. Combining these terms gives us (2/8 - 5/8)x = -3/8x.
Similarly, we have the terms 3/10y and 4/10y. Combining these terms gives us (3/10 + 4/10)y = 7/10y.
Therefore, the simplified expression is -3/8x + 7/10y.
To simplify the given expression by combining like terms, we need to add or subtract the coefficients of the like variables. Let's start by reorganizing the expression:
(2/8x - 5/8x) + (3/10y + 4/10y)
First, let's combine the terms with the variable x. The coefficients are 2/8 and -5/8, both have a common denominator of 8. Adding them together, we get:
(2/8 - 5/8)x = -3/8x
Next, let's combine the terms with the variable y. The coefficients are 3/10 and 4/10, both have a common denominator of 10. Adding them together, we get:
(3/10 + 4/10)y = 7/10y
Putting these results together, the simplified expression is:
-3/8x + 7/10y
So, the correct response is:
7 tenths x plus 7 eighths y, which can be written as 7/10x + 7/8y.