The first equation is given in slope-intercept form but the second equation is not; so, let us convert the second equation to the slope-intercept form.
In the equation
![5y-15x=18](https://img.qammunity.org/2023/formulas/mathematics/college/d4wz4hw6ovrhpdbdm9ym0crhxj0b044bh6.png)
adding 15x to both sides gives
![5y=15x+18](https://img.qammunity.org/2023/formulas/mathematics/college/15euwg5a5267b599wyknsesqf7823rxund.png)
and then dividing both sides by 5 gives
![y=3x+(18)/(5)](https://img.qammunity.org/2023/formulas/mathematics/college/um4s4xlwm65jtbp8tppt1m0s7bw1s0pdtd.png)
This equation has exactly the same equation as y = 3x + 5; therefore, the two lines are parallel.