The linsz represented by the equation y=3x+5 and 5y-15x=-10 are


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

adding 15x to both sides gives

5y=15x+18

and then dividing both sides by 5 gives

y=3x+\frac{18}{5}

This equation has exactly the same equation as y = 3x + 5; therefore, the two lines are parallel.


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