The Sum of Twice a Number and 9 is -25

When looking at the equation ‘the sum of twice a number and 9 is -25’, we can deduce that there is only one solution to the equation. This is because the equation is a linear equation with one unknown, and the solution can be found by isolating the unknown with the use of algebraic manipulation. In short, the solution is ‘x=-17’.

When solving a linear equation, the first step is to identify the unknown quantity. In this case, the unknown is the number which is being doubled, and is represented by ‘x’. Next, we must isolate the unknown by rearranging the equation to form ‘x = something’ on one side of the equation.

To do this, we must first add 25 to both sides of the equation, giving us ‘the sum of twice a number and 9 plus 25 is 0’. We can then subtract 9 from both sides of the equation to give us ‘the sum of twice a number and 0 is 16’. Finally, we can divide both sides of the equation by 2, which gives us ‘x = -17’.

This is the only solution to this equation as it is a linear equation with one unknown. Other equations with more unknowns may have multiple solutions. It is also important to note that the solution must always be a real number, as the equation states that the sum must be equal to -25.

The Process of Finding the Solution

The process of solving the linear equation ‘the sum of twice a number and 9 is -25’ is a simple one. First, we must identify the unknown quantity, which in this case is the number being doubled. Once identified, we must then rearrange the equation to form ‘x = something’ on one side of the equation. This is done by first adding 25 to both sides of the equation, and then subtracting 9 from both sides of the equation. Finally, we must divide both sides of the equation by 2, which will give us the solution ‘x = -17’.

The Importance of Solving Linear Equations

Solving linear equations is an important skill to have as it can be used to solve a wide range of real-world problems. For example, it can be used to calculate distances between two points, calculate the cost of a certain number of items, or calculate the amount of money needed to pay a certain number of bills. All of these calculations require linear equations to be solved, and mastering their solution is essential in order to make accurate calculations.

Conclusion

The sum of twice a number and 9 is -25 is a linear equation with one unknown, and the solution to this equation is ‘x=-17’. The process of finding the solution is a simple one and involves rearranging the equation to form ‘x = something’ on one side of the equation. Solving linear equations is an important skill to have as it can be used to solve a wide range of real-world problems.

In conclusion, the sum of twice a number and 9 is -25 is a linear equation with one unknown. The solution to this equation is ‘x=-17’, and the process of finding this solution involves rearranging the equation to form ‘x = something’ on one side of the equation. Solving linear equations is an essential skill to have in order to solve various real-world problems.