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

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26-10-2022
Mathematics

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

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RuebenP647623 RuebenP647623 · Answer 1 · 2022-10-26T07:48:38+02:00

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

[tex]5y-15x=18[/tex]

adding 15x to both sides gives

[tex]5y=15x+18[/tex]

and then dividing both sides by 5 gives

[tex]y=3x+\frac{18}{5}[/tex]

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