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22 votes
How many solutions does 2/3(2x − 4) = 1/3(4x + 6) have?

A.0

B.1

C.2

D. Infinite

User Medo Ampir
by
4.5k points

1 Answer

8 votes

Answer:

A. 0

Explanation:


\bold{\frac23(2x-4) = \frac13(4x + 6)}\\\\\bold{\frac43x-\frac83= \frac43x + 2}\qquad\qquad\qquad \{subtract\ \frac43x\ from\ both\ sides\}\\\\\bold{-\frac83= 2}

Inconsistent means no solution

User Rushikesh J
by
4.4k points