Creado por Liffey Farrell
hace más de 7 años
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Pregunta | Respuesta |
To solve an equation, each side of the equation must balance with the other side. One of the most common methods used to solve equations is the balance method. | Imagine an equation as a set of scales. The scales will stay in balance as long as the same operation (addition, subtraction, multiplication or division) is applied to both sides. |
Example: Solve the equation 3a + 8 = 26 To solve the equation, the left hand side must balance with the right hand side | The value of 'a' must be found that balances 3a + 8 with 26 |
The term +8 can be removed from the equation by subtracting 8 from each side. This gives 3a + 8 - 8 = 26 - 8 This simplifies to 3a = 18 | 3a means 3xa, so to get a by itself, divide both sides by 3. This gives 3a/3 = 18/3 This simplifies to a = 6 |
This answer can be checked by substituting a = 6 back into the original equation | 1) 3a + 8 = 26 2) 3 x 6 + 8 = 26 3) 18 + 8 = 26 4) 26 = 26 It balances so a = 6 is the correct answer |
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