(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.