What are the solutions to the system of equations: y = 5x + 4 and y = 4?

by

To solve the system of equations y = 5x + 4 and y = 4, we can start by setting the two equations equal to each other since both are equal to y:

5x + 4 = 4

Now, let’s solve for x:

  1. Subtract 4 from both sides:

    2. 5x = 0

  2. Now divide both sides by 5:

    3. x = 0

Now that we have the value for x, we can substitute it back into one of the original equations to find the corresponding value of y. We’ll use y = 4 since it is simpler:

y = 4

So, the solution to the system of equations is:

(x, y) = (0, 4)

This means that the two lines represented by the equations intersect at the point (0, 4) in the coordinate plane.

In conclusion, the solution to the system of equations is:

  • x = 0
  • y = 4

Therefore, the point of intersection is (0, 4).

Leave a Comment