$$5\left(x+iy\right)\left(1-i\right)=\left(2-3i\right)\left(-5+5i\right)\left(-i\right)\times 3$$

$$\left(5-5i\right)\left(x+iy\right)=\left(2-3i\right)\left(-5+5i\right)\left(-i\right)\times 3$$

$$\left(5-5i\right)x+\left(5+5i\right)y=\left(2-3i\right)\left(-5+5i\right)\left(-i\right)\times 3$$

$$\left(5-5i\right)x+\left(5+5i\right)y=\left(5+25i\right)\left(-i\right)\times 3$$

$$\left(5-5i\right)x+\left(5+5i\right)y=\left(25-5i\right)\times 3$$

$$\left(5-5i\right)x+\left(5+5i\right)y=75-15i$$

$$\left(5-5i\right)x=75-15i-\left(5+5i\right)y$$

$$\left(5-5i\right)x=75-15i+\left(-5-5i\right)y$$

$$\left(5-5i\right)x=\left(-5-5i\right)y+\left(75-15i\right)$$

$$\frac{\left(5-5i\right)x}{5-5i}=\frac{\left(-5-5i\right)y+\left(75-15i\right)}{5-5i}$$

$$x=\frac{\left(-5-5i\right)y+\left(75-15i\right)}{5-5i}$$

$$x=9+6i-iy$$

$$5\left(x+iy\right)\left(1-i\right)=\left(2-3i\right)\left(-5+5i\right)\left(-i\right)\times 3$$

$$\left(5-5i\right)\left(x+iy\right)=\left(2-3i\right)\left(-5+5i\right)\left(-i\right)\times 3$$

$$\left(5-5i\right)x+\left(5+5i\right)y=\left(2-3i\right)\left(-5+5i\right)\left(-i\right)\times 3$$

$$\left(5-5i\right)x+\left(5+5i\right)y=\left(5+25i\right)\left(-i\right)\times 3$$

$$\left(5-5i\right)x+\left(5+5i\right)y=\left(25-5i\right)\times 3$$

$$\left(5-5i\right)x+\left(5+5i\right)y=75-15i$$

$$\left(5+5i\right)y=75-15i-\left(5-5i\right)x$$

$$\left(5+5i\right)y=75-15i+\left(-5+5i\right)x$$

$$\left(5+5i\right)y=\left(-5+5i\right)x+\left(75-15i\right)$$

$$\frac{\left(5+5i\right)y}{5+5i}=\frac{\left(-5+5i\right)x+\left(75-15i\right)}{5+5i}$$

$$y=\frac{\left(-5+5i\right)x+\left(75-15i\right)}{5+5i}$$

$$y=ix+\left(6-9i\right)$$