(-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.