Let's say that x is the number of dollars she makes per hour during the week and y is the number of dollars she makes per hour on the weekend. We have 2 equations we can write given the info we have. The equations are the number of hours during the week plus the number of hours on the weekend equals a specific amount of money. That general equation is what we will use for both equations. 13x + 14y = 250.90 and 15x + 8y = 204.70. We need to solve for both x and y. But we can't have 2 unknowns so we need to eliminate one. I am going to multiply the first equation by -8 and the second equation by 14 which will effectively eliminate the y's. Doing that multiplication gives us 2 new equations that are -104x - 112y = -2007.20 and 210x +112y = 2865.80. As you can see, the y terms cancel out, leaving us with this single equation in terms of x only: 106x = 858.60. If we divide both sides by 106 we find that the amount she makes per hour during the week is $8.10. Now we will use that value for x and sub it into one of the original equations to solve for y. 13(8.10) + 14y = 250.90 and 105.30 + 14y = 250.90. We subtract 105.30 from both sides giving us 14y = 145.60 and divide to get y = 10.40. That means that she makes $10.40 per hour on the weekends. In the end, when she works on the weekends, she makes $2.30 more per hours.