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And please show the steps
Thank you
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With the steps please
First of all, the AI messed up again, its answer makes no sense.
Secondly, please type normally.
I assume you mean
| 9-8x | = 2x + 3
first condition : 2x + 3 ≥ 0 -----? x ≥ -3/2
case1 : 9 - 8x = 2x + 3
-10x = -6
x = 6/10 = 3/5 , which is within our domain
case2: -9 + 8x = 2x + 3
6x = 12
x = 2
so x = 2 or x = 3/5
To solve the equation:
9 | 9 - 8x | = 2x + 3
Step 1: Eliminate the absolute value by considering the two possible cases:
Case 1: 9 - 8x is positive (9 - 8x ≥ 0)
Case 2: 9 - 8x is negative (9 - 8x < 0)
For Case 1: 9 - 8x ≥ 0
9 - 8x ≥ 0 => 9 ≥ 8x => 9/8 ≥ x (Divide both sides of the inequality by 8)
Therefore, x can have values greater than or equal to 9/8.
For Case 2: 9 - 8x < 0
9 - 8x < 0 => -8x < -9 => x > 9/8 (Divide both sides of the inequality by -8 and reverse the inequality sign)
Therefore, x can have values greater than 9/8.
Step 2: Combine both cases to get the final solution:
The solution for x is all values greater than or equal to 9/8.
Note: The equation has no specific solution for x, as it has an absolute value. The solution is represented as a range of x values.
to solve it.
Answer:
Step 1: 9 - 8x = 2x + 3
Step 2: 9 - 2x = 8x + 3
Step 3: 11x = 12
Step 4: x = 12/11