$\"\"$

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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 4.6 and 2.8, To make the y - coefficient same multiply equation(1) by 2.8 and equation(2) by 4.6. $\"\"$

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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 33.82.

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$\"\"$

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$\"\"$ (Cancel common terms)

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$\"\"$

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

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$\"\"$

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

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Apply addition property of equality: Add 15.91 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 4.6)

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$\"\"$ (Cancel common terms)

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$\"\"$

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