Question

line 1: \\(y = x\\)
line 2: \\(y = \frac{1}{2}x + 1\\)
this system of equations is:

• inconsistent
• consistent dependent
• consistent independent

this means the system has:

• a unique solution

solution: \\((\quad, \quad)\\)

• infinitely many solutions
• no solution

line 1: \\(y = \frac{3}{2}x + 1\\)
line 2: \\(y = \frac{3}{2}x + 3\\)
this system of equations is:

• inconsistent
• consistent dependent
• consistent independent

this means the system has:

• a unique solution

solution: \\((\quad, \quad)\\)

• infinitely many solutions
• no solution

Explanation:

Analyze the first system of equations

$$
LATEXBLOCK0
$$

Analyze the second system of equations

$$
LATEXBLOCK1
$$

Answer:

Question 1

This system of equations is:

• consistent independent

This means the system has:

• a unique solution
• Solution: \((2, 2)\)

Question 2

This system of equations is:

• inconsistent

This means the system has:

• no solution