Solving a system of equations. After manipulating them, he decides to add the two equations shown below together to eliminate the variable x. What property justifies this manipulation? 6x+5y=17 -6x+2y=4

Addition property justifies manipulation of  the equations.

Step-by-step explanation:

Given:

Two equations.

⇒    ...equation (i)

⇒   ...equation (ii)

We have to identify the property  which justifies the manipulation.

Note:

The Linear Combination Method:

The above equation is following the linear combination method where x-values are added to find the y value.

Solving:

⇒  ...(i)

⇒ ...(ii)

⇒ Adding both the equations.

⇒

⇒ Dividing both sides with 7.

⇒

⇒

Addition property justifies manipulation of both the equations.

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