Question 1095116
4x-5y+z=3
2x+y=4 
-7y+3z=-5



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{{{2x=4-y}}}
{{{x=(4-y)/2}}}
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{{{3z=-5+7y}}}
{{{z=(7y-5)/3}}}
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{{{4(4-y)/2-5y+(7y-5)/3=3}}}

{{{multiply}}}{{{both}}}{{{sides}}}{{{by}}}{{{6}}};
{{{12(4-y)-30y+2(7y-5)=18}}}

{{{6(4-y)-15y+7y-5=9}}}

{{{24-6y-15y+7y=14}}}

{{{(-6-15+7)y=14-24}}}

{{{-14y=-10}}}

{{{y=10/14}}}

{{{highlight(y=5/7)}}}

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{{{z=(7(5/7)-5)/3}}}
{{{z=0/3}}}
{{{highlight(z=0)}}}


{{{x=(4-y)/2}}}

{{{x=(4-5/7)/2}}}

{{{x=(28/7-5/7)/2}}}

{{{highlight(x=23/14)}}}