As the enigmatic ‘what value of g makes the equation true’ takes center stage, this opening passage beckons readers into a world meticulously crafted with authoritative academic prose, ensuring a reading experience that is both captivating and profoundly illuminating.
In the realm of mathematics, variables hold a pivotal role, acting as placeholders for unknown or changing values within equations. Among these variables, ‘g’ stands out as a particularly intriguing entity, its significance unfolding as we delve into the intricacies of the equation at hand.
Join us on this intellectual odyssey as we unravel the mysteries surrounding ‘g’ and its profound impact on the equation’s truthfulness.
What Value of g Makes the Equation True
An equation is a mathematical statement that asserts the equality of two expressions. In the equation 2x + 5 = 15, the variable x is unknown and the goal is to find its value that makes the equation true.
The value of g in the given equation plays a crucial role in determining the truthfulness of the equation. By understanding the concept of variables, analyzing the equation, and employing appropriate mathematical operations, we can determine the specific value of g that makes the equation true.
Variable Identification, What value of g makes the equation true
A variable is a symbol or letter that represents an unknown value in an equation. In the given equation, g is the variable.
The variable g can take on different values, and the equation will be true for a specific value of g.
Equation Analysis
The given equation is 2x + 5 = 15. This equation represents the sum of 2x and 5 is equal to 15.
The terms in the equation are 2x, 5, and 15. The mathematical operations involved are addition and equality.
Solution Determination
To solve the equation for g, we need to isolate g on one side of the equation. We can do this by subtracting 5 from both sides of the equation:
2x + 5 - 5 = 15 - 5 2x = 10
Now, we divide both sides of the equation by 2 to isolate g:
2x / 2 = 10 / 2 g = 5
Value Verification
To verify the solution, we substitute g = 5 back into the original equation:
2(5) + 5 = 15 10 + 5 = 15 15 = 15
Since the equation is true when g = 5, we have verified that g = 5 is the solution to the equation.
FAQ Summary: What Value Of G Makes The Equation True
Q: What is the significance of the variable ‘g’ in the equation?
A: ‘g’ represents an unknown value that plays a crucial role in determining the truthfulness of the equation.
Q: How do we determine the value of ‘g’ that makes the equation true?
A: By employing systematic algebraic techniques, we can isolate ‘g’ and find the value that satisfies the equation.
Q: Why is it important to verify the solution?
A: Verification ensures that the obtained value of ‘g’ indeed makes the equation true, preventing errors and ensuring the accuracy of our findings.
