At a farmer’s market, khalid bought 4 pounds of tomatoes and 7 pounds of broccoli for $28. genevieve bought 5 pounds of tomatoes and 2 pounds of broccoli for $28.50. let t represent the cost of one pound of tomatoes. let b represent the cost of one pound of broccoli. which system of equations will solve for t and b? 4 t 7 b = 28.50. 5 t 2 b = 28.00. 5 t 7 b = 28.50. 4 t 2 b = 28.00. 4 t 7 b = 28.00. 5 t 2 b = 28.50. 5 t 4 b = 28.50. 7 t 2 b = 28.00.

Respuesta :

After solving both the linear equations we get the value of the variables are t = 5.32 and b = 0.96.

What is linear equation?

  • A linear polynomial over a field, from which the coefficients are taken, can be equalized to zero to produce a linear equation.
  • The numbers that, when used to replace the unknowns in such an equation, result in the equality, are the solutions.
  • The term "linear equation" frequently alludes indirectly to this specific situation, in which the variable is appropriately referred to as the "unknown."
  • Each solution in the scenario with two variables can be understood as the Cartesian coordinates of a point on the Euclidean plane.
  • A line in the Euclidean plane is formed by a linear equation's solutions, and every line may be thought of as the collection of all solutions to a linear equation with two variables.

The equations will be obtained in a linear equations in 2 variables. the system of equations will solve for t and b

Let

t =  the cost of one pound of tomatoes

b=  the cost of one pound of broccoli

we know that

4t + 7b = 28

5t+ 2b = 28.50

using a graphing tool

The solution of the system of equations is equal to the intersection point both graphs

The intersection point is  (5.32,0.96)

therefore

t = 5.32

b = 0.96

To learn more about the linear equation with the given link https://brainly.com/question/11897796

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