Answer :
The solution to the system of equations [tex]\((2x + 5y = 100)\)[/tex] and [tex]\((3x + 3y = 96)\)[/tex] represents the costs of the individual services offered at the Feel Better Spa.
Here's what the solution [tex]\((20, 12)\)[/tex] indicates:
1. Facial Cost:
- The variable [tex]\(x\)[/tex] represents the cost of a facial.
- The solution shows that [tex]\(x = 20\)[/tex].
- This means that the cost of one facial is \[tex]$20.
2. Manicure Cost:
- The variable \(y\) represents the cost of a manicure.
- The solution shows that \(y = 12\).
- This means that the cost of one manicure is \$[/tex]12.
So, when the two specials are described using the system of equations, the values found for [tex]\(x\)[/tex] and [tex]\(y\)[/tex] indicate that a facial costs \[tex]$20 and a manicure costs \$[/tex]12. This understanding allows new members to know the individual cost breakdown of the spa services offered in the specials.
Here's what the solution [tex]\((20, 12)\)[/tex] indicates:
1. Facial Cost:
- The variable [tex]\(x\)[/tex] represents the cost of a facial.
- The solution shows that [tex]\(x = 20\)[/tex].
- This means that the cost of one facial is \[tex]$20.
2. Manicure Cost:
- The variable \(y\) represents the cost of a manicure.
- The solution shows that \(y = 12\).
- This means that the cost of one manicure is \$[/tex]12.
So, when the two specials are described using the system of equations, the values found for [tex]\(x\)[/tex] and [tex]\(y\)[/tex] indicate that a facial costs \[tex]$20 and a manicure costs \$[/tex]12. This understanding allows new members to know the individual cost breakdown of the spa services offered in the specials.
