$\"\"$

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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 3 and 2 and their least common multipe is 6, so multiply each equation by the value that will make the b - coefficient 6.

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Elimanted by adding equations.

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

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$\"\"$ $\"\"$

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Apply division property of equality: Divide each side by 31.

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$\"\"$

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$\"\"$ (Cancel common terms). $\"\"$

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

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$\"\"$ (Equation 2)

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

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Apply addition property of equality: Add 5 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 2)

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$\"\"$ (Cancel common terms) $\"\"$

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