Question 670382
3x - 6y = 5 : equation 1


7x + 2y = 4 : equation 2


Multiply equation 2 by 3 to get


21x + 6y = 12   then add to equation 1
3x - 6y  = 5
-------------
24x = 17


x = {{{17/24}}}


Now we can substitute x = {{{17/24}}} into any of the equations to solve for y. Let's use equation 1

3({{{17/24}}}) - 6y = 5

{{{17/8}}} - 6y = 5

-6y = 5 - {{{17/8}}}

-6y = {{{23/8}}}

divide both sides by -6 to get:

y = {{{-23/48}}}