Question 499853
{{{x + 10y = 41}}}

{{{x + 9y = 37}}}

{{{x = 41-10y}}}

{{{(41-10y) + 9y =37}}}.......so far is good; now just eliminate parentheses


{{{41-10y + 9y =37}}}....add {{{-10y}}] and {{{9y}}}


{{{41-1y =37}}}...move {{{y}}} to the right and {{{37}}} to the left


{{{41-37 =y}}}


{{{highlight(4=y)}}}...now find {{{x}}}

{{{x = 41-10y}}}

{{{x = 41-10*4}}}

{{{x = 41-40}}}

{{{highlight(x = 1)}}}


PS:

you asked "is it: {{{31x - 9y = 37}}}?...answer: NO, you cannot subtract {{{10y}}} from {{{41}}} (as you cannot subtract apples from bananas)...{{{41}}} is whole number and {{{10y}}} is a product of whole number {{{10}}} and unknown variable {{{y}}}