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21 April, 21:54

Which system of equations has infinitely many solutions? A. 3y = - 5x + 7 3x = - 5y - 7 B. 3y = x - 4 3x - 9y = - 12 C. 2x + y = 2 - 4x - 2y = 4 D. 2y = 3x + 6 4y = 6x + 12

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  1. 21 April, 22:03
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    Option B) has infintely many solutions

    That is Option B) 3y=x-4 and 3x-9y=-12 has infintely many solutions

    Step-by-step explanation:

    A system will have infinitely many solutions if each equations refers to the same line.

    Given equations are

    3y=x-4 and 3x-9y=-12 both the lines represents same line equation. In the given equations we have equations end up with unequal values on each side of the equation.

    That is 3y=x-4

    x-3y=4

    Multiply with 3 we get

    3x-9y=12

    comparing the equations 3x-9y=12 and 3x-9y=-12 we get that the given system of equations has infinite solutions

    Therefore option B) has infintely many solutions
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