Certainly! Let's take a look at the expression provided: [tex]\( -2x + 7y + 1 \)[/tex].
To break this down step-by-step:
1. Identify the coefficients:
- The coefficient of [tex]\( x \)[/tex] is [tex]\(-2\)[/tex]. This means that for every unit increase in [tex]\( x \)[/tex], the term [tex]\(-2x\)[/tex] will decrease by 2 units.
- The coefficient of [tex]\( y \)[/tex] is [tex]\( 7 \)[/tex]. This means that for every unit increase in [tex]\( y \)[/tex], the term [tex]\( 7y \)[/tex] will increase by 7 units.
2. Identify the constant term:
- The constant term is [tex]\( 1 \)[/tex]. This term does not change regardless of the values of [tex]\( x \)[/tex] and [tex]\( y \)[/tex].
3. Combine the terms in the expression:
- The expression [tex]\( -2x \)[/tex] represents a linear term involving [tex]\( x \)[/tex] with a negative coefficient.
- The expression [tex]\( 7y \)[/tex] represents a linear term involving [tex]\( y \)[/tex] with a positive coefficient.
- The term [tex]\( 1 \)[/tex] is a constant.
Since the expression is already simplified and there are no operations required beyond identification and organization, the full expression is:
[tex]\[ -2x + 7y + 1 \][/tex]
This is as simplified as the expression can be given that no specific values for [tex]\( x \)[/tex] or [tex]\( y \)[/tex] have been provided. Therefore, the answer to the expression remains:
[tex]\[ -2x + 7y + 1 \][/tex]
