The table below shows two equations:
2 answers:
(1) has solutions x = 3, x= - 1.5 and (2) has no solution
solving each equation
(1)
add 5 to both sides
|4x - 3 | = 9 ( remove bars from absolute value )
4x - 3 = 9 or 4x - 3 = - 9 ( by definition )
4x = 9 + 3 = 12 or 4x = - 9 + 3 = - 6
x = 3 or x = - 1.5
(2)
subtract 8 from both sides
|2x + 3 | = - 5
the absolute value cannot be equal to a negative quantity
thus |2x + 3 | = - 5 has no solution
Answer:
The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution.
Step-by-step explanation:
Rearranging the two equations, you get ...
- |4x -3| = 9 . . . . . has two solutions
- |2x +3| = -5 . . . . has no solutions (an absolute value cannot be negative)
The above-listed answer is the only one that matches these solution counts.
_____
Testing the above values of x reveals they are, indeed, solutions to Equation 1.
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Step-by-step explanation:
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