Question 74372
{{{6x-5y=3}}}
{{{-12x+8y=5}}}
We need to get the x coefficients the same number but opposite signs so they cancel. We can do this by multiplying the 1st equation by 2.
{{{2(6x-5y)=2(3)}}}
{{{12x-10y=6}}}
Add this to {{{-12x+8y=5}}}
{{{12x-10y=6}}}
+{{{-12x+8y=5}}}
----------------
{{{0x-2y=11}}}
{{{2y=11}}}Solve for y
{{{y=-11/2}}}
Use this info to solve for x
{{{6x-5(-11/2)=3}}}
{{{6x+55/2=3}}}
{{{6x=3-55/2}}}
{{{6x=6/2-55/2}}}
{{{6x=-49/2}}}
{{{x=(-49/2)/6}}}
{{{x=-49/12}}}

So the solution is (-49/12,-11/2)