Simplify by combining like terms
2/8x + 3/10y -5/8x + 4/10y
(-3/8)x + (7/10)y
To simplify the expression 2/8x + 3/10y - 5/8x + 4/10y, we need to combine like terms. Like terms are terms that have the same variables raised to the same powers.
Let's start by combining the x terms: 2/8x - 5/8x. Since these terms have the same variable x and the same denominator 8, we can subtract their coefficients: (2 - 5)/8x = -3/8x.
Next, let's combine the y terms: 3/10y + 4/10y. Since these terms have the same variable y and the same denominator 10, we can add their coefficients: (3 + 4)/10y = 7/10y.
Now our expression becomes:
-3/8x + 7/10y
To simplify the given expression, we need to combine the like terms. Like terms are terms that have the same variable and exponent.
Let's break down the given expression:
2/8x + 3/10y - 5/8x + 4/10y
First, we can combine the terms with the variable x:
2/8x - 5/8x = (2-5)/8x = -3/8x
Next, we can combine the terms with the variable y:
3/10y + 4/10y = (3+4)/10y = 7/10y
Now, we have simplified the expression to:
-3/8x + 7/10y
Therefore, the simplified form of the given expression is -3/8x + 7/10y.