DF = 8x - 12

FH = x + 3

FH = ½DF

DF = 2FH

DF = 8x - 12

FH = 2x + 6

8x - 12 = 2x + 6

8x - 2x = 6 + 12

6x = 18

x = 3

asked by guest
on Jan 16, 2025 at 2:56 am



You asked:

Solve the system of equations:\[\begin{aligned}D F &= 8 x - 12\\F H &= x + 3\\F H &= \frac{1}{2} D F\\D F &= 2 F H\\D F &= 8 x - 12\\F H &= 2 x + 6\\8 x - 12 &= 2 x + 6\\8 x - 2 x &= 6 + 12\\6 x &= 18\\x &= 3\end{aligned}\]

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