$\"\"$

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Write a system of equations:

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Let the two numbers are $\"\"$ .

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Seven times a number plus three times another number equals negative one then the equation is $\"\"$ .

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The sum of these two numbers is negative three then the equation $\"\"$ .

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Elimination method:

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The system of equations are $\"\"$ .

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$\"\"$ ----------(1)

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$\"\"$ ----------(2)

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To get two equations that contain opposite terms multiply the second equation by negative 3. $\"\"$

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Add the equations to eliminate the y - variable and solve the equation.

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$\"\"$

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The resultant equation is $\"\"$ .

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Divide each side by 4.

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$\"\"$

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$\"\"$

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$\"\"$

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The value of $\"\"$ substitute in either equation to find y.

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First equation: $\"\"$ .

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$\"\"$

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$\"\"$

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Subtract 14 from each side.

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$\"\"$

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$\"\"$

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Divide each side by 3.

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$\"\"$

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$\"\"$

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$\"\"$

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The solution is $\"\"$ .