Find a number that is 15 more than 4 times its opposite.

x − n u mb er x − 15 = 4 ( − x ) x − 15 = − 4 x ∣ s u b t r a c t x − 15 = − 5 x ∣ d i v i d e b y − 5 x = 3 N u mb er i s e q u a l t o 3.

Answered by luana | 2024-06-10

The student is asked to find a number that is 15 more than 4 times its opposite. To solve this, let's assign the number the variable x. The opposite of x is -x. So, according to the problem, x must satisfy the equation x = 4 * (-x) + 15. By distributing the 4, we get x = -4x + 15. To find the value of x, we add 4x to both sides to get 5x = 15. Dividing both sides by 5, we find that x = 3. Thus, the number we are looking for is 3. To check our work, we calculate 4 times its opposite (which is -3) and add 15: 4 * (-3) + 15 = -12 + 15 = 3, which matches our found number.

Answered by DiBotcher | 2024-06-24

The number that is 15 more than 4 times its opposite is 3. This was found by setting up and solving the equation x = 4 ( − x ) + 15 . Verification of the result shows that substituting back gives consistent results with the original statement.
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Answered by luana | 2025-01-29