Question 314316
1.{{{2x + 3y = 4}}}
2.{{{3x + 4y = 5}}}

Multiply eq. 1 by (3) and eq. 2 by (-2) and add them together.
{{{6x+9y-6x-8y=12-10}}}
{{{highlight(y=2)}}}
Then use either equation to solve for x.
{{{2x+3y=4}}}
{{{2x+3(2)=4}}}
{{{2x=-2}}}
{{{highlight(x=-1)}}}
.
.
.
{{{ drawing( 300, 300, -5, 1, -1, 5, grid(1),circle(-1,2,.1),graph( 300, 300, -5, 1, -1, 5, (4-2x)/3,(5-3x)/4)) }}}