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Nookie1986 [14]
3 years ago
6

Plz help me with this

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0

Answer: Equivalent

<u>Step-by-step explanation:</u>

y=-\dfrac{1}{3}x+\dfrac{2}{3}\\\\\text{Multiply by 3 to clear the denominator: }3y = -x + 2\\\text{Add x to both sides: }x+3y=2\\\text{Multiply both sides by 2: }2x+6y=4

When given a system of equations, the definitions of the solution are:

  • Consistent & Independent: exactly ONE solution (lines intersect)
  • Consistent & Dependent: INFINITE solutions (same line)
  • Inconsistent: NO solutions (parallel lines)

In the given system, the equations are the same which means they have INFINITE solutions --> The system is Consistent & Dependent = Equivalent.

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