Steve buys 2 lb of grapefruit and 3 lb of oranges for $7.20. Kennedy buys 4 lb of grapefruit and 2 lb of oranges for $8.80. Let
x represent the price per pound for grapefruit, and let y represent the price per pound for oranges. Choose the system of equations that models the situation.
Let "x" represent the price per pound for grapefruit, and "y" for oranges. Steve purchases 2 pounds of grapefruit and 3 of oranges for $7.20. This implies that the total of the products of x and y equals $7.20, leading us to formulate this equation: Additionally, Kennedy acquires 4 pounds of grapefruit and 2 pounds of oranges for $8.80. This indicates that the total of the products of x and y is $8.80, allowing us to construct this equation as well: Consequently, we arrive at the system of equations that represents the situation.
An equation of the form describes a line that passes through the origin and whose tangent corresponds to . Generally, any equation formatted as represents a line.