To solve the given system of equations with the best method
Answer to Problem 10PPS
No Solution.
Explanation of Solution
Given:
Equations:
From the above equations, it can be observed that 4x + y is common in both the given equations which means that both the lines are parallel to each other with different y - intercepts which are 3 and -1.
Hence there will be no possible solution. It will be easy to observe this using graph.
So, in this case graphical method will be more convenient and best.
Calculation:
Let,
Calculation of graph:
Consider,
Values of x | Values of y |
0 | 3 |
1 | -1 |
2 | -5 |
3 | -9 |
4 | -13 |
By taking different values of x , the graph can be plotted.
Graph:
Calculation of graph:
Consider,
Values of x | Values of y |
0 | -1 |
1 | -5 |
2 | -9 |
3 | -13 |
4 | -17 |
By taking different values of x , the graph can be plotted.
Graph:
Plotting both the graphs on the same co-ordinate plane:
Interpretation:
From the above graph, it is clear that, there is no common point of intersection for these two graphs.
Hence, there is no possible solution.
Conclusion:
Therefore, there is no possible solution.
Chapter 6 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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