StudyGPT Just Leveled Up – Say Hello to Knowee! 🚀
Knowee
Questions
Features
Study Tools

Solve this system of equations by graphing. First graph the equations, and then type the solution.y=6xy=8x–2Click to select points on the graph.

Question

🧐 Not the exact question you are looking for?Go ask a question

Solution

To solve this system of equations by graphing, follow these steps:

  1. Graph the first equation y = 6x. This is a straight line that passes through the origin (0,0) and has a slope of 6.

  2. Graph the second equation y = 8x - 2. This is also a straight line. It has a y-intercept of -2 (where it crosses the y-axis) and a slope of 8.

  3. Look for the point where the two lines intersect. This point is the solution to the system of equations.

Unfortunately, I can't graph the equations here, but you can do this easily on graph paper or with a graphing calculator.

The solution to the system of equations is the x-value at the point where the two lines intersect. To find this, set the two equations equal to each other and solve for x:

6x = 8x - 2 2x = 2 x = 1

Then substitute x = 1 into either of the original equations to find the corresponding y-value. If we substitute into the first equation we get:

y = 6(1) = 6

So the solution to the system of equations is (1, 6).

This problem has been solved

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.