Solve Problems Involving Systems Without Unique Solutions
Solve the Problem $t + 8$

Solve Problems Involving Systems Without Unique Solutions
Solve the problem using matrices.
-The figure below shows the intersection of three one-way streets. To keep traffic moving, the number of cars per minute entering an intersection must equal the number of cars leaving that intersection. Set up a
System of equations that keeps traffic moving, and use Gaussian elimination to solve the system. If
Construction limits z to t cars per minute, how many cars per minute must pass through the other
Intersections to keep traffic moving?

A) $t + 8$ cars $/ \mathrm { min }$ between $\mathrm { I } _ { 2 }$ and $\mathrm { I } _ { 1 } ; \mathrm { t } + 3 \mathrm { cars } / \mathrm { min }$ between $\mathrm { I } _ { 1 }$ and $\mathrm { I } _ { 3 }$
B) $t + 1$ cars $/ \mathrm { min }$ between $\mathrm { I } _ { 2 }$ and $\mathrm { I } _ { 1 } ; \mathrm { t } + 4 \mathrm { cars } / \mathrm { min }$ between $\mathrm { I } _ { 1 }$ and $\mathrm { I } _ { 3 }$
C) $t - 2$ cars $/ \mathrm { min }$ between $\mathrm { I } _ { 2 }$ and $\mathrm { I } _ { 1 } ; \mathrm { t } + 1$ cars/min between $\mathrm { I } _ { 1 }$ and $\mathrm { I } _ { 3 }$
D) $t + 2$ cars $/ \mathrm { min }$ between $\mathrm { I } _ { 2 }$ and $\mathrm { I } _ { 1 } ; \mathrm { t } - 3 \mathrm { cars } / \mathrm { min }$ between $\mathrm { I } _ { 1 }$ and $\mathrm { I } _ { 3 }$