38

 PAGE: 360 SET: Exercises PROBLEM: 38

Elimination method:

Given equations are,

----------(1)

----------(2)

(1) and (2) equations when the coefficients of a variable and are opposites, adding the equations will eliminate the variable.

Adding (1) and (2) equations will eliminate the variable g.

Apply division property of equality: If a = b then .

(Divide each side by 2)

(Cancel common terms)

Substitute for f in either equation to find g.

(First equation)

(Substitute  )

(Apply commutative property: )

Apply addition property of equality: If a = b then .

Check the solution:

To Check, substitute and  in either equation.

(First equation)

(Substitute and  )

(Subtract: )

The solution  is true.

The solution is .

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