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1. Answer:

   4L + 8 m = $40 5L + 2m = $28

   Step–by–step explanation:

   L = cost of a large plant

   m = cost of a medium plant 4L + 8 m = $40 5L + 2m = $28

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2. Equation (1) and equation (2) represent the system of equations, the cost of the large plant is $4.5, and the cost of the medium plant is $2.75

   What is a linear equation?

   It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

   If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

   We have:

   l is the cost of a large plant and m is the cost of a medium plant.

   The cost of 4 large plants and 8 medium plants is $40.

   For the above scenario, the linear expression can be written as in two variables:

   4l + 8m = 40 …(1)

   The cost of 5 large plants and 2 medium plants is $28 for this scenario, the linear expression can be written as in two variables:

   5l + 2m = 28 …(2)

   Multiplying the above equation with 4 on both sides

   20l + 8m = 112 …(3)

   Subtracting equation (1) from equation (2), we get:

   20l – 4l = 112 – 40

   16l = 72

   l = $4.5

   Put this value in the equation (1), we get:

   4(4.5) +8m = 40

   18 +8m = 40

   m = $2.75

   Thus, the equation (1) and equation (2) represent the system of equations, the cost of the large plant is $4.5, and the cost of the medium plant is $2.

   Learn more about the linear equation here:

   brainly.com/question/11897796

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