Determine whether the system of equations

0.5*x* - 0.3*y* = 1.2

1.5*x* - 0.9*y* = 2.1

is consistent and dependent, consistent and independent, or inconsistent.

Choices:

A. inconsistent

B. consistent and independent

C. consistent and dependent

**Correct Answer: A**

**Step 1:** 0.5*x* - 0.3*y* = 1.2 [Equation 1.]

**Step 2:** 1.5*x* - 0.9*y* = 2.1 [Equation 2.]

**Step 3:**

[Rearrange equation 1 in slope-intercept form.]

**Step 4:** [Simplify.]

**Step 5:**

[Rearrange equation 2 in slope-intercept form.]

**Step 6:**

**Step 7:** Graph the equations.