Question

line 1: y=x - 2
line 2: y=x + 3
this system of equations is:
consistent independent
consistent dependent
inconsistent
this means the system has:
a unique solution
solution: ( , )
no solution

Explanation:

Step1: Check slope and y - intercept

Line 1: $y = x - 2$, slope $m_1=1$, y - intercept $b_1=-2$. Line 2: $y = x + 3$, slope $m_2 = 1$, y - intercept $b_2=3$.

Step2: Determine system type

Since $m_1=m_2$ and $b_1
eq b_2$, lines are parallel. So system is inconsistent.

Answer:

inconsistent
no solution