Question 1152245
x = number of employees at the larger location.
y = number of employees at the smaller location.
the two equations that need to be solved simultaneously are:
x + y = 26
4x = 7y - 6
rearrange the second equation so that the variables are on the left and the constants are on the right, and leave the first equation as is to get:
x + y = 26
4x - 7y = -6


multiply both sides of the first equation by 4 and leave the second equation as is to get:
4x + 4y = 104
4x - 7y = -6


subtract the second equation from the first to get:
11y = 110


solve for y to get:
y = 110 / 11 = 10


solve for x to get x = 16


replace original equations with x = 16 and y = 10 to get:
x + y = 26 becomes 16 + 10 = 26 which becomes 26 = 26.
4x = 7y - 6 becomes 4 * 16 = 7 * 10 - 6 which becomes 64 = 64.


this confirms the values for x and y are correct.


your solution is that there are 16 employees at the larger location and 10 employees at the smaller location.