Simple....
you have: \(- \frac{3}{4} x+ \frac{5}{6} y=15\)
To solve for x:
\(- \frac{3}{4} x+ \frac{5}{6} y=15\)
1.) Isolate the variable "x" (Remove y)
\(- \frac{3}{4} x+ \frac{5}{6} y=15\)
\(- \frac{5}{6} y\) \(- \frac{5}{6} y\)
Leaving you with....
\(\frac{3}{4} x=-\frac{5}{6}y +15\)
2.) Divide by the variable.....
\(\frac{ \frac{3}{4}x }{ \frac{3}{4} } = \frac{ -\frac{5}{6}y+15 }{ \frac{3}{4} }\)
Leaving you with...
x=\(-\frac{10y}{9} +20\)
Now, solve for y.
To solve for y:
\(- \frac{3}{4} x+ \frac{5}{6} y=15\)
1.)Isolate the variable "y" (Remove x)
\(- \frac{3}{4} x+ \frac{5}{6} y=15\)
\(+ \frac{3}{4}\) \(+ \frac{3}{4}\)
Leaving you with....
\(\frac{5}{6} y= \frac{3}{4} x+15\)
2.)Divide by the variable.....
\(\frac{ \frac{5}{6}y }{ \frac{5}{6} } = \frac{ \frac{3}{4}x+15 }{ \frac{5}{6} }\)
Leaving you with....
y=\(\frac{9x}{10} +18\)
x-intercept: (-20,0)
y-intercept: (0,18)
Thus, your answer.