Match each system to the number the first equation can be multiplied by to eliminate the x-terms when adding the second equation

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.

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