Question 124031
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Discussion
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First off, please stop SHOUTING!

Definitions:

Consistent and dependent:  Identical slopes and intercepts, i.e. they are
the same line.  Infinite solutions
Consistent and independent:  Different slopes.  Intersect in one point.  One
solution.
Inconsistent:  Identical slopes, different intercepts.  Parallel lines. No
solution.

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Solution
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{{{x=2y-7}}}
{{{3x+2y=-5}}}

Since you have an expression that is equal to x, i.e. the first equation,
you can substitute this expression for x in the other equation
{{{3*red((2y-7))+2y=-5}}}


Solve for y:
{{{6y-21+2y=-5}}}
{{{8y=-5+21}}}
{{{8y=16}}}
{{{y=2}}}


Substitute this value for y into the first equation:
{{{x=2(2)-7}}}
{{{x=-3}}}


So your solution is the ordered pair (-3,2)


Since there is only one solution, the system is consistent and independent.



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