Question 328031
Multiply both eqations by 10 first.
1.{{{3x-2y=40}}}
2.{{{4x-3y=490/23}}}
Multiply eq. 1 by -3 and eq. 2 by 2 and add them to eliminate y,
{{{-9x+6y+8x-6y=-120+980/23}}}
{{{-x=-2760/23+980/23}}}
{{{-x=-1780/23}}}
{{{highlight(x=1780/23)}}}
.
.
.
Then use either equation to solve for y.
{{{5340/23-2y=920/23}}}
{{{-2y=-4420/23}}}
{{{highlight(y=2210/23)}}}