Dependent. This system is consistent, because the first equation can be rearranged to y+3x=5, which is exactly the same as the second equation, so they don't contradict each other. However, their are infinite number of solutions to the equation y+3x=5, like x=1, y=2; or x=2, y=-1;... so the system is dependent.
-3/5 = (f-g))/(11-f))
we use cross products to help solve the problem
top on the left times bottom of the right = top on the right times bottom on the left
5(f-g)= -3(11 - f)
distribute
multiply the number on the outside of the parenthesis to the terms on the inside
5*f -5*g = -3*11 -3* (-f)
5f-5g = -33 +3f
subtract 3f from each side
2f -5g = -33
Answer:
569.
Step-by-step explanation:
The amount Carmen should get back is the amount tendered less the amount owed.
change = 204 - 59