The solution of the system of equations
Answer to Problem 1RE
The solution of the system of equations
Explanation of Solution
Given:
The system of equations are
Procedure used:
To solve a system of two equations on the same pair of axes:
1. Graph each equation on the same pair of axes.
2. The solution will be the common point.
Calculation:
Obtain the solution of the system of equations
Assume values for the variable x and obtain the values for the variable y for the equation
x | ||
2 | 9 | |
1 | 4 | |
0 | –1 |
Table 1
Similarly, assume values for the variable x and obtain the values for the variable y for the equation
x | ||
2 | 9 | |
1 | 6 | |
0 | 3 |
Table 2
Graph each equation on the same set of axes by the use of the co-ordinate values from Table 1 and Table 2 as shown in the below figure.
From Figure 1, it is observed that the two graphs intersect at
Thus, the solution of the system of equations is
Check whether the solution is correct by substituting the solution
Thus, the solution
Similarly, substitute the solution
Thus, the solution
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