SOLUTION: Show that this system of equations has one distinct solutions by graphing or solving the system. {{{ x+y=4 }}} {{{ x-y=2 }}}

Algebra ->  Test -> SOLUTION: Show that this system of equations has one distinct solutions by graphing or solving the system. {{{ x+y=4 }}} {{{ x-y=2 }}}      Log On


   



Question 1077725: Show that this system of equations has one distinct solutions by graphing or solving the system.
+x%2By=4+ +x-y=2+

Found 3 solutions by rolling_meadows, ikleyn, josgarithmetic:
Answer by rolling_meadows(22) About Me  (Show Source):
Answer by ikleyn(53763) About Me  (Show Source):
You can put this solution on YOUR website!
.
This combination of words "one distinct solutions" makes no sense.

But, if you want to solve the system, simply add the two equations (both sides) and see what will happen.



Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
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+x%2By=4+
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+x-y=2+
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x%2By%2Bx-y=4%2B2
2x=6
x=3
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x%2By-%28x-y%29=4-2
2y=2
y=1
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Intersection in ONE point (3,1)


graph%28300%2C300%2C-3%2C5%2C-3%2C5%2C-x%2B4%2Cx-2%29
See one intersection of the two lines.