The system of equations are .
Rewrite the equation 2: in the form of
.
Add 5x to each side.
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Since the coefficient of the y - term in two equations is same, i can eliminate these terms by subtracting the equations.
\Write the equations in column form and subtract to eliminate variable y.
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The resultant equation is and solve it for x.
Divide each side by negative 2.
\Cancel common terms.
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Substitute the value of in equation 2:
and solve for y.
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Divide each side by 2.
\Cancel common terms.
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The solution is .