Answer: [tex]\left \{ {{2x+3y=7.20} \atop {4x+2y=8.80}} \right.[/tex]
Step-by-step explanation:
Let be "x" the price per pound for grapefruit, "y" the price per pound for oranges.
We know that Steve buys 2 pounds of grapefruit and 3 of oranges for $7.20.
This means that the sum of the products of [tex]2x[/tex] and [tex]3y[/tex] is $7.20. Then, we can write this equation to represent it:
[tex]2x+3y=7.20[/tex]
Kennedy buys 4 pounds of grapefruit and 2 pounds of oranges for $8.80.
This means that the sum of the products of [tex]4x[/tex] and [tex]2y[/tex] is $8.80. Then, we can write this equation to represent this:
[tex]4x+2y=8.80[/tex]
Therefore, we get that the system of equations that models the situation is:
[tex]\left \{ {{2x+3y=7.20} \atop {4x+2y=8.80}} \right.[/tex]
The system of equations that models the situation is,
[tex]\begin{bmatrix} 2x+3y=7.2 \\ 2x+y=4.4 \end{bmatrix}[/tex]
Let x represent the price per pound for grapefruit, and let y represent the price per pound for oranges.
Steve buys 2 lb of grapefruit and 3 lb of oranges for $7.20.
Thus,
The expression to show the above condition is [tex]2x+3y=7.2[/tex]
Kennedy buys 4 lb of grapefruit and 2 lb of oranges for $8.80.
Thus,
The expression to show the above condition is [tex]4x+2y=8.8[/tex]
Take the expression [tex]4x+2y=8.8[/tex]
We can rewrite it as [tex]2x+y=4.4[/tex]
Hence, the system of equations that models the situation is,
[tex]\begin{bmatrix} 2x+3y=7.2 \\ 2x+y=4.4 \end{bmatrix}[/tex]
To know more about the system of equations, please refer to the link:
https://brainly.com/question/13038733
