Answer
(-2, -5)
consistent and independent
Work Step by Step
y=x-3
Substitute the equivalent of y into the other given equation.
3x+4y=-26
3x+4(x-3)=-26
3x+4x-12=-26
7x-12=-26
7x=-26+12
7x=-14
x=-2
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=x-3
y=(-2)-3
y=-5
Therefore the answer is (-2,-5). There is only one solution so the system is consistent and the lines are independent.