(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.