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classify the equation 170x-1000=30(5x-30) as having one solution,no solution, or infinity many solution

Sagot :

170x - 1000 = 30(5x-30)

Distributing:

170x - 1000 = 30*5x - 30*30

170x - 1000 = 150x - 900

Each side of the equal sign represents a line. These lines are:

[tex]\begin{gathered} y_1=170x-1000 \\ y_2=150x-900 \end{gathered}[/tex]

Given that the slopes of the lines are different, then the lines intercept each other at one point. This means that the equation has one solution.

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