Answer
(5,10)
consistent and independent
Work Step by Step
y=6x-20
The above equation has y isolated, so we plug its equivalent into the other given equation:
y=5x-15
(6x-20)=5x-15
6x-5x=-15+20
x=5.
Now that we have the answer for the x-value, plug it back into one of the original equations to find the answer for the y-value:
y=6x-20
y=6(5)-20
y=30-20
y=10.
Therefore the answer is (6,10). There is one solution, so it is a consistent system and the lines are independent.