Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve this system of equations by graphing. Graph the equations, then find the solution.\newliney=16x3y = -\frac{1}{6}x - 3\newliney=x+4y = x + 4\newlineClick to select points on the graph.\newline\newlineThe solution is (_,_\_, \_).

Full solution

Q. Solve this system of equations by graphing. Graph the equations, then find the solution.\newliney=16x3y = -\frac{1}{6}x - 3\newliney=x+4y = x + 4\newlineClick to select points on the graph.\newline\newlineThe solution is (_,_\_, \_).
  1. Graph First Equation: Step 11: Graph the first equation y=16x3y = -\frac{1}{6}x - 3.\newline- Plot the y-intercept at (0,3)(0, -3).\newline- Use the slope 16-\frac{1}{6} to find another point: from (0,3)(0, -3), go down 11 unit and right 66 units to reach (6,4)(6, -4).\newline- Draw the line through these points.
  2. Graph Second Equation: Step 22: Graph the second equation y=x+4y = x + 4.\newline- Plot the y-intercept at (0,4)(0, 4).\newline- Use the slope 11 to find another point: from (0,4)(0, 4), go up 11 unit and right 11 unit to reach (1,5)(1, 5).\newline- Draw the line through these points.
  3. Find Intersection: Step 33: Find the intersection of the two lines.\newline- Visually or using graphing technology, determine where the lines intersect.\newline- The lines appear to intersect at (7,3)(-7, -3).

More problems from Find the magnitude of a three-dimensional vector