Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

How many solutions does the system of equations below have?\newliney=x310y = -x - \frac{3}{10}\newliney=x310y = -x - \frac{3}{10}\newlineChoices:\newline(A) no solution\newline(B) one solution\newline(C) infinitely many solutions

Full solution

Q. How many solutions does the system of equations below have?\newliney=x310y = -x - \frac{3}{10}\newliney=x310y = -x - \frac{3}{10}\newlineChoices:\newline(A) no solution\newline(B) one solution\newline(C) infinitely many solutions
  1. Analyze equations: Analyze the given system of equations.\newlineThe system of equations is:\newliney=x310y = -x - \frac{3}{10}\newliney=x310y = -x - \frac{3}{10}\newlineWe notice that both equations are identical.
  2. Identify number of solutions: Determine the number of solutions for identical equations.\newlineSince both equations are the same, every point on the line y=x310y = -x - \frac{3}{10} is a solution to the system. Therefore, there are infinitely many points that satisfy both equations.

More problems from Solve trigonometric equations