Question

1. identify the coefficients, constants, and variables in the expression $5x + 8y + 7 - 3x - y + 9$.

Explanation:

Step1: Simplify the expression

Combine like terms for variables and constants:

$$\begin{align*} 5x + 8y + 7 - 3x - y + 9&=(5x-3x)+(8y-y)+(7+9)\\ &=2x + 7y + 16 \end{align*}$$

Step2: Identify components

• Coefficients: The numerical factors multiplied by variables.
• Variables: The unknown symbols in the expression.
• Constants: Terms without variables.

Answer:

• Coefficients: 2 (for $x$), 7 (for $y$)
• Variables: $x$, $y$
• Constant: 16