natalyhernandez
natalyhernandez natalyhernandez
  • 25-07-2017
  • Mathematics
contestada

Solve for x & y. 30x−42y=−6 and 5x−7y=−1

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MrSpaceCow
MrSpaceCow MrSpaceCow
  • 28-07-2017
Um.. Both of those equations are the exact same. Divide both sides of the first equation by 6. You get:

[tex] \frac{30x - 42y}{6} = \frac{-6}{6} \\ 5x - 7y = -1 [/tex]

That is the exact same as the second equation. This system has an infinite number of solutions. 5x - 7y = -1 is a line, so basically every point on that line is a solution to the system.

For example, [tex] x = 0 [/tex] and [tex] y = \frac{1}{7} [/tex] would work, but so would [tex] x = 1 [/tex] and [tex] y = \frac{6}{7} [/tex]
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