Question 297817
1.{{{y = x + 4}}}
2.{{{3y-5x = 6}}}
Substitute eq. 1 into eq. 2 directly and solve for x,
{{{3(x+4)-5x=6}}}
{{{3x+12-5x=6}}}
{{{-2x=-6}}}
{{{highlight( x=3)}}}
Now use eq. 1 to solve for y.
{{{y=x+4}}}
{{{y=3+4}}}
{{{highlight(y=7)}}}
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Graphical check of the solution.
{{{drawing(300,300,-2,8,-2,8,grid(1), circle(3,7,.2),
graph( 300, 300, -2, 8, -2, 8, x+4, (5x+6)/3)) }}} 
Independent.