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Question
how many solutions does the system of equations below have?
$y = \frac{7}{9}x + \frac{1}{8}$
$y = \frac{7}{9}x + \frac{1}{8}$
no solution
one solution
infinitely many solutions
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Step1: Analyze the equations
The two equations given are \( y = \frac{7}{9}x+\frac{1}{8} \) and \( y=\frac{7}{9}x + \frac{1}{8} \). These are the same linear equation.
Step2: Determine the number of solutions
For a system of linear equations, if the two equations represent the same line (i.e., they are identical), then every point on the line is a solution. So, there are infinitely many solutions.
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infinitely many solutions