This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Step 1: Answer Question 1. A system of equations with the same number of unknowns where its equations are consistent with each other and independent is called a consistent and independent system. This type of system has exactly one unique solution. Answer: consistent and independent Step 2: Answer Question 2. An ordered pair of numbers that is a solution to both equations in a system is called a solution to a system of equations. Answer: solution Step 3: Answer Question 3 by referring to the graph. The graph shows that the two lines intersect at the point (2, 1). Answer: (2, 1) Step 4: Answer Question 4. If the lines in a system of equations coincide, they are the same line, meaning every point on the line is a solution. Therefore, the system has infinitely many solutions and is said to be consistent and dependent. Answer: infinitely many, consistent and dependent That's 2 down. 3 left today — send the next one.