{"id":235721,"date":"2024-06-15T19:28:12","date_gmt":"2024-06-15T19:28:12","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=235721"},"modified":"2024-06-15T19:28:12","modified_gmt":"2024-06-15T19:28:12","slug":"how-to-solve-absolute-value-equations-with-two-absolute-values","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/how-to-solve-absolute-value-equations-with-two-absolute-values\/","title":{"rendered":"How to solve absolute value equations with two absolute values?"},"content":{"rendered":"

When faced with an absolute value equation containing two absolute values, the key is to isolate each absolute value expression on its own and solve for both possible scenarios. Here’s how you can tackle these kinds of equations step by step:<\/p>\n

**Step 1:** Set up two scenarios by removing the absolute value bars from each expression and considering both the positive and negative cases. For example, if you have |2x-5| + |3x+1| = 10, set up two equations: 2x-5 + 3x+1 = 10 and -(2x-5) – (3x+1) = 10.<\/p>\n

**Step 2:** Solve each equation separately. In our example, you would solve 2x-5 + 3x+1 = 10 to find one possible value for x, and then solve -(2x-5) – (3x+1) = 10 to find the second possible value.<\/p>\n

**Step 3:** Check your solutions by plugging them back into the original equation to see if they satisfy the given equation. If both solutions work, then you have successfully solved the absolute value equation with two absolute values.<\/p>\n

By following these steps, you can confidently solve absolute value equations with two absolute values and arrive at the correct solutions.<\/p>\n

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