ALGEBRA 2, 2012

Step-by-step Answer
 PAGE: 171 SET: Exercises PROBLEM: 1
Please look in your text book for this problem Statement

The system of equations are , and .

Solve the system of equations by elimination method.

Step 1:

Eliminate one variable by using two pairs of equations.

Subtract the 2nd and 3rd equations to eliminate the one variable.

Step 2:

Solve the system of two equations containing and to find value.

(Divide each side by )

(Cancel common terms)

Substitute into any one of the original equation to find value.

(Third equation)

(Substitute )

(Multiply)

(Subtract from each side)

(Apply additive inverse property: )

(Divide each side by )

(Cancel common terms)

Step 3:

Substitute values of and    into one of the original equation to find value.

(Second equation)

(Substitute and )

(Multiply)

(Combine like terms)

(Add to each side)

(Apply additive inverse property: )

(Divide each side by )

(Cancel common terms)

Thereore, the solution is , and .

Check solutions for and values.

(Second equation)

(Substitute , and )

(Multiply)

(Add: )

The solution of the system is .

The solution of the system is .

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