Which of the following options contains two coefficients and three terms?

Option #1: 2x−3=4−y

Option #2: 6+7y=5

Option #3: 9x=1−8x

(1 point)
Option #
contains two coefficients and three terms.

1 answer

To determine which option contains two coefficients and three terms, let's analyze each option:

Option #1: 2x−3=4−y

  • Terms: \(2x\), \(-3\), \(4\), \(-y\) (there are four terms when we consider all parts of both sides of the equation).
  • Coefficients: \(2\) (for \(2x\)) and \(-1\) (for \(-y\)).

This option has four terms, not three.

Option #2: 6+7y=5

  • Terms: \(6\), \(7y\), \(5\) (there are three terms in total).
  • Coefficients: \(7\) (for \(7y\)). The number \(6\) and \(5\) are constants, not coefficients.

This option has three terms, but only one coefficient.

Option #3: 9x=1−8x

  • Terms: \(9x\), \(1\), \(-8x\) (there are three terms).
  • Coefficients: \(9\) (for \(9x\)) and \(-8\) (for \(-8x\)).

This option has three terms and two coefficients.

The correct answer is Option #3.