Question 1128185

{{{3x-4y=27}}}......eq.1
{{{2x+6y=-34}}}.....eq.2
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Solve by elimination method

{{{3x-4y=27}}}......eq.1...both sides multiply by {{{2}}}
{{{2x+6y=-34}}}.....eq.2...both sides multiply by {{{3}}}
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{{{6x-8y=54}}}......eq.1
{{{6x+18y=-102}}}.....eq.2
----------------------------------substitute eq.2 from eq.1


{{{6x-8y-(6x+18y)=54-(-102)}}}

{{{cross(6x)-8y-cross(6x)-18y=54+102}}}

{{{-8y-18y=156}}}

{{{-26y=156}}}

{{{y=156/-26}}}

{{{y=-6}}}


go to

{{{3x-4y=27}}}......eq.1, substitute {{{y}}}

{{{3x-4(-6)=27}}}

{{{3x+24=27}}}

{{{3x=27-24}}}

{{{3x=3}}}

{{{x=1}}}