Check whether the three lines represented by the equations given below intersect at a commonpoint.2x + y - 1 = 04x + 3y + 5 = 05x + 4y + 8 = 0Show your work.

To check if the three lines intersect at a common point, we can solve the system of equations. Here are the steps:

1. We have the three equations:

   2x + y - 1 = 0 ---- (1)

   4x + 3y + 5 = 0 ---- (2)

   5x + 4y + 8 = 0 ---- (3)

2. Let's multiply equation (1) by 2, we get 4x + 2y - 2 = 0. Let's call this equation (4).

3. Now, subtract equation (4) from equation (2), we get y + 7 = 0, which simplifies to y = -7.

4. Substitute y = -7 into equation (1), we get 2x - 7 - 1 = 0, which simplifies to 2x = 8 and x = 4.

5. Now we have the point (4, -7). Let's substitute these values into equation (3) to check if it holds true.

   Substituting x = 4 and y = -7 into equation (3), we get 54 + 4(-7) + 8 = 20 - 28 + 8 = 0, which is true.

So, the three lines represented by the given equations intersect at the common point (4, -7).