$\"\"$

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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 y - variables are 1 and 4 and their least common multipe is 4, so multiply equation(1) by 4 that will make the y - coefficient 4.

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$\"\"$

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Subtract the equations to elimante y - 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 35.

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$\"\"$

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

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

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$\"\"$ (Equation 1)

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

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Apply subtraction property of equality: Subtract 24 from 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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$\"\"$ (Subtract: $\"\"$ ) $\"\"$

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