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Answer :
Final answer:
The equation 6.9x + 4.3 = 4.7x + 8 simplifies to 2.2x = 3.7, yielding a solution of x approximately equals to 1.68, which can be confirmed using a graphing calculator.
Explanation:
The given question refers to the method of using a system of equations and a graphing calculator to solve a simple linear equation. The equation provided is
6.9x + 4.3 = 4.7x + 8
. To solve this, first, subtract 4.7x from both sides of the equation to simplify it, which yields
2.2x + 4.3 = 8
. Then, subtract 4.3 from both sides to isolate the x variable giving us the final equation of
2.2x = 3.7
. To find the value of x, divide both sides by 2.2, which provides x equals to approximately 1.68. You can confirm this solution using a graphing calculator by plotting both equations y = 6.9x + 4.3 and y = 4.7x + 8, the intersection point will indicate the solution to the equation.
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