Use the method of elimination to solve the following system of equations. If the

Question

Use the method of elimination to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the veribakes. Leave all fractional answers in fraction form Pleas state which one it is than the answer
Use the method of elimination to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form. 13 5x +30y 65 ME Keypad M Hide Answer Selecting the number of solutions will display the boxes ne to enter the answer. O Dependent System e Inconsistent System Consistent System

Explanation / Answer

Given:

x + 6y = - 13                       (1)

5x + 30 y = - 65                  (2)

5 X (1): 5x + 30 y = - 65         (3)

We note that (3) is same as (2).

So, the system is dependent.

To express the solution set in terms of one variable:

From (1):

x = - 13 - 6y.

So, the solution set is:

{-13-6y}

where y can take any value.

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