Answer: The like terms are 7.5y and 2y.
Step-by-step explanation:
We are given the following expression:
[tex]\displaystyle 7.5y - \frac{z}{9} +50+2y[/tex]
Let us review the given statements, and decide which is true about the parts of this expression.
✗ The constant is 7.5.
➜ The constant is a number not being multiplied by a variable.
In this expression, that is 50.
✗ The coefficients are 7.5 and negative 9.
➜ The coefficients are 7.5, -1/9, and 2.
✗ The variables are x and y.
➜ There is no x in this expression, the variables are y and z.
✓ The like terms are 7.5y and 2y.
➜ This is a true statement, 7.5y and 2y are like terms, they have the same variables and degree.
This means the answer is "The like terms are 7.5y and 2y."