Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

how many solutions does the system of equations below have? $y = \\frac…

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
submit

Explanation:

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.

Answer:

infinitely many solutions