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  • 25-09-2020
  • Mathematics
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5. Solve l4x -7l =5 for x
The 4x-7 is in absolute value

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zrh2sfo
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  • 26-09-2020

Answer:

x = 1/2 or x = 3

Step-by-step explanation:

Solve for x over the real numbers:

abs(7 - 4 x) = 5

Split the equation into two possible cases:

7 - 4 x = 5 or 7 - 4 x = -5

Subtract 7 from both sides:

-4 x = -2 or 7 - 4 x = -5

Divide both sides by -4:

x = 1/2 or 7 - 4 x = -5

Subtract 7 from both sides:

x = 1/2 or -4 x = -12

Divide both sides by -4:

Answer: x = 1/2 or x = 3

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