Solve the absolute value equation
| 3x+1 | = 1
1 answer:
Let's solve your equation step-by-step.
<span><span>|<span><span>3x</span>+1</span>|</span>=1
</span>Solve Absolute Value.
<span><span>|<span><span>3x</span>+1</span>|</span>=1
</span>We know either <span><span><span>3x</span>+1</span>=1 </span>or <span><span><span>3x</span>+1</span>=<span>−<span>1
</span></span></span><span><span><span>3x</span>+1</span>=1</span>(Possibility 1)
<span><span><span><span>3x</span>+1</span>−1</span>=<span>1−1</span></span>(Subtract 1 from both sides)
<span><span>3x</span>=0
</span><span><span><span>3x/</span>3 </span>= <span>0/3</span></span>(Divide both sides by 3)
<span><span><span>3x</span>+1</span>=<span>−1</span></span>(Possibility 2)
<span><span><span><span>3x</span>+1</span>−1</span>=<span><span>−1</span>−1</span></span>(Subtract 1 from both sides)
<span><span>3x</span>=<span>−<span>2
</span></span></span><span>x=<span>0
</span></span><span><span><span>3x/</span>3 </span>= <span><span>−2/</span>3</span></span>(Divide both sides by 3)
<span>x=<span><span>−2/</span><span>3
</span></span></span>Answer:
<span><span>x=<span><span>0<span> or </span></span>x</span></span>=<span><span>−2/</span>3</span></span>
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