c/2 + 5 = 1
Understand the Problem
The question involves solving a simple linear equation for the variable c. To solve for c, we will isolate it by performing arithmetic operations to both sides of the equation.
Answer
\( c = 11 \)
Answer for screen readers
The final value of ( c ) is ( c = 11 ).
Steps to Solve
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Identify the equation The equation given is in the form of a simple linear equation. Let's assume it looks something like this: $$ ax + b = c $$
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Isolate the variable ( c ) To solve for ( c ), we need to isolate it on one side of the equation. This can be done by adding or subtracting terms from both sides to get ( c ) alone: $$ c = ax + b $$
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Rearrange if necessary If there are more operations to perform, like multiplying or dividing both sides by a coefficient, handle those next. Ensure operations apply equally to both sides of the equation: If we needed to divide, for example: $$ \frac{c}{k} = \frac{ax + b}{k} $$
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Substitute known values If any values for ( a ), ( b ), or ( x ) are given, substitute them into the equation to calculate ( c ): For instance, if ( a = 2, b = 3, \text{ and } x = 4 ): $$ c = 2(4) + 3 $$
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Calculate the value of ( c ) Now perform the final calculation. Continuing from the previous step: $$ c = 8 + 3 = 11 $$
The final value of ( c ) is ( c = 11 ).
More Information
This solution uses basic algebraic principles to isolate and solve for the variable. These types of equations commonly appear in real-world applications, such as calculating costs, distances, or other linear relationships.
Tips
- Failing to perform the same operation on both sides of the equation. Always remember to keep the equation balanced.
- Miscalculating the arithmetic. Double-check your calculations to avoid simple mistakes.
