1.

{{:(-16=7y+4x),(k = (7)/(8)y + (1)/(2)x ):} If the system of linear equatioons above has infinitely many solutions, and k is a constant, what is the value of k ?

Answer»

`-8`
`-4`
`-2`
`-1`

Solution :The systym has infinitely many solutions, so both equations must describe the same line . Notice that if you multiply the x-and y-coefficients in the SECOND equation by 8, you arrive at the x-and y-coeffcients in the FIRST equation. The CONSTANT k times 8 must then equal the constant in the first equation,
`or -16:`
`9k=-16`
`k =-2`
The correct answer is (C ).


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