(a) Derive the equations to be solved for the unknown flow rates and write the system as an angmented matrix. (b) By reducing the augmented matrix in part (a) to reduced row-echelon form, determine the unkuown flow rates in the pipe network. Indicate which row operations you have used.

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A: Solution:Givenx-3y=-8-3x-y=4Solve by addition method.

Q: Solve the system by substitution  1/4x-1/6y= 6 -1/3x-1/2y= 5

A: The given system of equations is

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A: Given that,

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A:

Q: Step

A:

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A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.