The Bractet

Algebra Level 2

How many solutions does the system of equations below have?

{ y = − 4 x − 4 9 y = − 4 x − 7 8 \begin{cases} y = -4x - \dfrac49 \\ y = -4x - \dfrac78 \end{cases}

One Solution Infinite Solution None

Noah Smalls by Noah Smalls , 18, USA

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1 solution

Noah Smalls
Nov 2, 2016

Always Remember: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution.

The first equation Y =-4x-4/9 the slope is -4 but the y-intercept is -4/9 The second equation Y=-4x-7/8 the slope is -4 but the y-intercept is 7/8

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