Question 207937

solve system using substution method
5x+y=2
5y=x+9
solution ?/26,47/?

5x + y = 2 ------- eq(i)------> y = -5x + 2
5y = x + 9 ------- eq(ii)


Substitute -5x + 2 for y on eq (ii) 

5(-5x + 2) = x + 9

-25x + 10 = x + 9


-26x = - 1

{{{highlight_green(x = 1/26)}}} 


Substitute {{{1/26}}} for x in eq (ii), 5y=x+9

{{{5y = 1/26 + 9}}}


130y = 1 + 234 ----> Multiplying by LCD, 26


130y = 235

{{{y = 235/130}}} = {{{highlight_green(47/26)}}}