Determine whether the system of equations
0.5x - 0.3y = 1.2
1.5x - 0.9y = 2.1
is consistent and dependent, consistent and independent, or inconsistent.
B. consistent and independent
C. consistent and dependent
Correct Answer: A
Step 1: 0.5x - 0.3y = 1.2 [Equation 1.]
Step 2: 1.5x - 0.9y = 2.1 [Equation 2.]
[Rearrange equation 1 in slope-intercept form.]
Step 4: [Simplify.]
[Rearrange equation 2 in slope-intercept form.]
Step 7: Graph the equations.