Part a: -2 is used to eliminate the x-terms when adding with the second equation.
Part b: is used to eliminate the x-terms when adding with the second equation.
Part c: is used to eliminate the x-terms when adding with the second equation.
Part d: 2 is used to eliminate the x-terms when adding with the second equation.
Explanation:
Part a: The equations are and
To eliminate the x-terms from both the equations, let us multiply -2 with the first equation and hence it becomes
Adding the two equation, we get,
Simplifying, we get,
Thus, the x-terms are eliminated when adding the equations.
Hence,-2 is used to eliminate the x-terms when adding with the second equation.
Part b: The equations are and
To eliminate the x-terms from both the equations, let us multiply with the first equation and hence it becomes
Adding the two equation, we get,
Simplifying, we get,
Thus, the x-terms are eliminated when adding the equations.
Hence, is used to eliminate the x-terms when adding with the second equation.
Part c: The equations are and
To eliminate the x-terms from both the equations, let us multiply with the first equation and hence it becomes
Adding the two equation, we get,
Simplifying, we get,
Thus, the x-terms are eliminated when adding the equations.
Hence, is used to eliminate the x-terms when adding with the second equation.
Part d: The equations are and
To eliminate the x-terms from both the equations, let us multiply 2 with the first equation and hence it becomes
Adding the two equation, we get,
Simplifying, we get,
Thus, the x-terms are eliminated when adding the equations.
Hence, 2 is used to eliminate the x-terms when adding with the second equation.