Question

2/8x+3/10y-5/8x+4/10y simplify by combining terms

Answer 1

1/2(x+4)+1/4(4x−2)

Answer 2

2/8x+3/10y-5/8x+4/10y Answer should be in mixed form.

Answer 3

Combining the terms involves adding or subtracting coefficients of variables with the same base.

So, combining like terms in the expression 2/8x + 3/10y - 5/8x + 4/10y gives:

(2/8x - 5/8x) + (3/10y + 4/10y)

To combine the terms with "x", we subtract the coefficients:

(2/8 - 5/8)x

To combine the terms with "y", we add the coefficients:

(3/10 + 4/10)y

Simplifying the coefficients, we have:

(-3/8x) + (7/10y)

Answer 4

To simplify the given expression, we first apply the distributive property to each term within the parentheses:

1/2(x + 4) + 1/4(4x - 2)

Multiplying 1/2 by each term in the first parentheses and 1/4 by each term in the second parentheses yields:

1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2

Simplifying the multiplication gives:

1/2x + 2/2 + 4/4x - 2/4

Reducing the fraction terms, we have:

1/2x + 1 + x - 1/2

Combining the like terms, we get:

1/2x + x - 1/2 + 1

Simplifying further:

(1/2 + 1)x + (1 - 1/2)

Adding the fractions:

(2/2 + 1/2)x + (2/2 - 1/2)

Simplifying the fractions again:

(3/2)x + (1/2)

Thus, the simplified expression becomes 3/2x + 1/2.

Answer 5

To simplify the expression and put it in mixed form, we need to combine like terms.

The given expression is: 2/8x + 3/10y - 5/8x + 4/10y

Combining the terms with "x" gives: (2/8 - 5/8)x

Simplifying this gives: (-3/8)x

Combining the terms with "y" gives: (3/10 + 4/10)y

Simplifying this gives: (7/10)y

Putting it all together, the expression becomes: (-3/8)x + (7/10)y

In mixed form, this expression can be written as: (-3/8)x + (7/10)y