$\"\"$

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Elimination Method:

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The system of equations are

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$\"\"$ Equation (1)

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$\"\"$ Equation (2)

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Neither variable has a common coefficient.The coefficient of the b - variables are $\"\"$ and 3, To make the b - coefficient same multiply equation(1) by 32 and equation(2) by 8. $\"\"$

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Subtract the equations to elimante b - variable.

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Write the equations in column form and subtract the corresponding columns.

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$\"\"$

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Apply division property of equality: Divide each side by 87.

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$\"\"$

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$\"\"$ (Cancel common terms)

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$\"\"$

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Now, find the b value by substituting in $\"\"$ $\"\"$ .

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$\"\"$

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$\"\"$ (Cancel common terms)

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$\"\"$ (Multiply: $\"\"$ ) $\"\"$

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Apply addition property of equality: Add 14 to each side.

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$\"\"$

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Rearrange the terms using commutative property of addition: a + b = b + a. \ \

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$\"\"$

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Apply additive identity property: $\"\"$ )

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$\"\"$ (Add: $\"\"$ )

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$\"\"$ (Divide each side by negative 3)

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$\"\"$ (Cancel common terms)

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$\"\"$

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The system of solution is $\"\"$ .