Replace the ??? to accurately complete the system of equations: - $ y = \frac{8}{2}x - 12 $ - ???

Question

Replace the ??? to accurately complete the system of equations:
- $ y = \frac{8}{2}x - 12 $
- ???
- solution to the system: $(3, 0)$
- $ y = 2x + 6 $
- $ y = 6x - 2 $
- $ y = -2x + 6 $
- $ y = -6x + 2 $

SnapAndSolve AI · Accepted Answer

To find the equation that completes the system, substitute $x = 3$ and $y = 0$ into each option and see which one satisfies the equation.

$ y = 2x + 6 $:
$ 0 = 2(3) + 6 $
$ 0 = 6 + 6 $
$ 0 \neq 12 $
$ y = 6x - 2 $:
$ 0 = 6(3) - 2 $
$ 0 = 18 - 2 $
$ 0 \neq 16 $
$ y = -2x + 6 $:
$ 0 = -2(3) + 6 $
$ 0 = -6 + 6 $
$ 0 = 0 $
$ y = -6x + 2 $:
$ 0 = -6(3) + 2 $
$ 0 = -18 + 2 $
$ 0 \neq -16 $

The correct equation is $ y = -2x + 6 $.

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Replace the ??? to accurately complete the system of equations: - \( y = \frac{8}{2}x - 12 \) - ???

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