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The solution to the equation is x = [tex]\frac{77}{31}.[/tex] The graph shows two horizontal lines intersecting at that point.
Let's solve for x in the equation.
The equation is:
[tex]\frac{35}{x-7} = \frac{4}{x-3}[/tex]
We can solve for x by cross-multiplying. This means that we multiply the top and bottom of the left fraction by the bottom of the right fraction, and then multiply the top and bottom of the right fraction by the top of the left fraction. We get:
35(x-3) = 4(x-7)
Expanding the parentheses, we get:
35x - 105 = 4x - 28
Combining like terms, we get:
31x - 105 = -28
Adding 105 to both sides, we get:
31x = 77
Dividing both sides by 31, we get:
[tex]x = \frac{77}{31}[/tex]
Therefore, the solution to the equation is x = [tex]\frac{77}{31}[/tex].
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Rewritten by : Barada
