Simplify the expression by combining like terms.

28x+310y−58x+410y
(1 point)
Responses

710x+78y
7 tenths x plus 7 eighths y

418xy
4 over 18 x y

1418xy
14 over 18 x y

−38x+710y

1 answer

To simplify the expression \(28x + 310y - 58x + 410y\), we will combine the like terms for \(x\) and \(y\) separately.

  1. Combine the \(x\) terms: \[ 28x - 58x = -30x \]

  2. Combine the \(y\) terms: \[ 310y + 410y = 720y \]

Now, putting it all together, we have: \[ -30x + 720y \]

The closest option given in your responses is: \(-38x + 710y\).

However, this does not accurately reflect the simplification I provided. Based on the calculation, the simplified expression is:

\(-30x + 720y\).

Double-check the options you have, as none of them match the correct simplification.