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Grade 12Mechanics

Send solution of this question.
The answer given is (14,14)

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Profile image of Navneet Kumar
7 Years agoGrade 12
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1 Answer

Profile image of Askiitians Tutor Team
ApprovedApproved Tutor Answer1 Year ago

To provide a solution to the problem that results in the answer (14, 14), we first need to understand the context of the question. It seems like we are dealing with a mathematical problem, possibly involving coordinates, equations, or systems of equations. Let’s break down how we might arrive at this answer step by step.

Understanding the Problem

Assuming we are working with a system of equations, we can represent two linear equations that intersect at the point (14, 14). This means that both equations will yield the same value when x = 14 and y = 14.

Setting Up the Equations

Let’s consider two simple linear equations:

  • Equation 1: y = x
  • Equation 2: y = 2x - 14

In these equations:

  • The first equation represents a line where y equals x, which will pass through points like (1, 1), (2, 2), and importantly, (14, 14).
  • The second equation is a line with a slope of 2, which also intersects the first line at the point (14, 14).

Finding the Intersection Point

To find the intersection of these two lines, we can set the equations equal to each other:

Set y = x equal to y = 2x - 14:

x = 2x - 14

Now, solve for x:

  • Subtract 2x from both sides: -x = -14
  • Multiply by -1: x = 14

Now that we have x, we can substitute it back into either equation to find y:

Using y = x:

y = 14

Conclusion of the Solution

Thus, we find that the intersection point of the two equations is indeed (14, 14). This demonstrates how we can derive the answer through logical steps and algebraic manipulation. If you have a specific context or different equations in mind, please share, and we can explore that scenario together!