Answer
(4,11)
Consistent and independent
Work Step by Step
y=x+7
The above equation has y isolated, so you plug its equivalent into the other equation in place of y:
y=2x+3
(x+7)=2x+3
7-3=2x-x
4=x
x=4.
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+7
y=(4)+7
y=11.
Therefore the answer is (4, 11). There is one solution, so the system is consistent and the lines are independent.