#### Answer

(0.6, 2)
consistent and independent

#### Work Step by Step

2w-5t=-1
2w=5t-1
w=2.5t-0.5
Substitute the equivalent of w in the other given equation.
3w-4t=2
2(2.5t-0.5)-4t=2
5t-1=2
5t=2+1
5t=3
t=$\frac{3}{5}$
t=0.6
Now that we have the answer for the t-value, plug it back into one of the original equations to find the answer for the w-value.
w=2.5t-0.5
w=2.5(0.6)-0.5
w=1.5+0.5
w=2
Therefore the answer is (0.6, 2). There is only one solution so the system is consistent and the lines are independent.