Question 536743
{{{8x + 5y = 14}}}.......(1)
{{{x = 46 - 8y}}}.........(2)
Put the value of x from (2) to (1)
{{{8(46 - 8y) + 5y = 14}}}.......(1)
{{{368 - 64y + 5y = 14}}}
{{{368 - 64y + 5y = 14}}}
{{{- 59y = 14-368}}}
{{{- 59y = -354}}}
{{{- 59y/-59 = -354/-59}}}
{{{y = 6}}}
Put the value of y in (2)
{{{x = 46 - 8(6)}}}.........(2)
{{{x = 46 - 48}}}
{{{x = -2}}}
x,y=-2,6


Check
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Put the values of x and y in (1)
{{{8x + 5y = 14}}}.......(1)
{{{8(-2) + 5(6) = 14}}}
{{{-16+30 = 14}}}
{{{14 = 14}}}