5x+7y=12; 2x+14y=12

Sure, let's solve this system of linear equations step by step.

1. First, let's look at the two equations:

   5x + 7y = 12 ---- (1)

   2x + 14y = 12 ---- (2)

2. We can see that the second equation can be simplified by dividing the entire equation by 2:

   x + 7y = 6 ---- (3)

3. Now we have two new equations:

   5x + 7y = 12 ---- (1)

   x + 7y = 6 ---- (3)

4. If we subtract equation (3) from equation (1), we get:

   5x - x = 12 - 6

   4x = 6

   x = 6 / 4

   x = 1.5

5. Now that we have the value of x, we can substitute it into equation (3) to find the value of y:

   1.5 + 7y = 6

   7y = 6 - 1.5

   7y = 4.5

   y = 4.5 / 7

   y = 0.64 (rounded to two decimal places)

So, the solution to the system of equations is x = 1.5 and y = 0.64.