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What is the x-value of the solution to the linear system below?

What is the x-value of the solution to the linear system below?-example-1
User Solomon
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1 Answer

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Answer: x = 5

Explanation:

The given system of linear simultaneous equations is expressed as

y = - 6x + 33- - - - - - - - - - - - - - - - -1

y = 6x - 27- - - - - - - - - - - - - - - - -2

We would apply the method of substitution by substituting equation 2 into equation 1. It becomes

6x - 27 = - 6x + 33

Adding 6x to the left hand side and the right hand side of the equation, it becomes

6x + 6x - 27 = - 6x + 6x + 33

12x - 27 = 33

Adding 27 to the left hand side and the right hand side of the equation, it becomes

12x - 27 + 27 = 33 + 27

12x = 60

Dividing the left hand side and the right hand side of the equation by 12, it becomes

12x/12 = 60/12

x = 5

User Rich Henry
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