How do you solve the linear equation 2x-y=3 and 2x=4x-6 using the substitution method and are they dependent, independent, or inconsistent?

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How do you solve the linear equation 2x-y=3 and 2x=4x-6 using the substitution method and are they dependent, independent, or inconsistent?

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Answer 1 · 2016-01-25T19:59:51

#x=3, y=3#

Independent and consistent.

Explanation:

Assuming that there is no error in the question

Second Equation gives the value of #x# as follows
#2x=4x-6# Taking all terms containing #x# to one side
#implies 2x-4x=-6#
#implies x=(-6)/-2#
#or x=3#
Now substituting the value of #x# thus obtained above we find the value of #y#
#2x-y=3#
#implies y=3#

The set of equations have a valid solution.

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How do you solve the linear equation 2x-y=3 and 2x=4x-6 using the substitution method and are they dependent, independent, or inconsistent?

1 Answer

Explanation:

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