객관식
Determine the number of solutions the system of equations has without graphing.
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5. Systems of Linear Equations
Solving Systems of Linear Equations by Graphing
객관식
Use the graph to identify the solution to the system of equations or identify that the system has or infinitely many solutions. If there is a solution, check that the point satisfies both equations.
A
B
C
No Solution
D
Infinitely many solutions
검증된 단계별 안내1
Step 1: Identify the point where the two lines intersect on the graph. This point represents the solution to the system of equations because it satisfies both equations simultaneously.
Step 2: From the graph, observe that the lines intersect at the point where \(x = 0\) and \(y = 3\). So, the intersection point is \((0, 3)\).
Step 3: To verify this solution, substitute \(x = 0\) and \(y = 3\) into both equations of the system (if given) to check if both equations hold true.
Step 4: If the point satisfies both equations, then \((0, 3)\) is the unique solution to the system.
Step 5: If the lines did not intersect, the system would have no solution, and if the lines coincided (overlapped), the system would have infinitely many solutions.
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