Consider that the system has infinitely many solutions. which choice is the coefficient of y in the second equation? 5x + 10y = 15 x + __ y = 3

ANSWER

The coefficient of y is


EXPLANATION

The first equation is

We can rewrite this equation in the slope intercept form to get,



We divide through by 10 to get,



The slope of this line is


and the y intercept is


Let

be the coefficient of y in the second equation.

Then, we have



We rewrite this equation too in slope intercept form to get,



Dividing through by


gives,



For the two equations to have infinitely many solution, then they must have the same slope and y intercept.

This means, that,



This implies that



Therefore the coefficient of y must be 2.