Solve by graphing: \( \frac{9 x-5}{3 x+1}=4 \)

Solve the equation \( \frac{9x-5}{3x+1}=4 \). Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{9x-5}{3x+1}=4\) - step1: Find the domain: \(\frac{9x-5}{3x+1}=4,x\neq -\frac{1}{3}\) - step2: Cross multiply: \(9x-5=\left(3x+1\right)\times 4\) - step3: Simplify the equation: \(9x-5=4\left(3x+1\right)\) - step4: Expand the expression: \(9x-5=12x+4\) - step5: Move the expression to the left side: \(9x-12x=4+5\) - step6: Add and subtract: \(-3x=4+5\) - step7: Add and subtract: \(-3x=9\) - step8: Change the signs: \(3x=-9\) - step9: Divide both sides: \(\frac{3x}{3}=\frac{-9}{3}\) - step10: Divide the numbers: \(x=-3\) - step11: Check if the solution is in the defined range: \(x=-3,x\neq -\frac{1}{3}\) - step12: Find the intersection: \(x=-3\) The solution to the equation \( \frac{9x-5}{3x+1}=4 \) by graphing is \( x=-3 \).