Writing an equation to form a pair of linear equations that have exactly one solution

label Algebra
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Amanda found the equation 10x+5y=20. What is an equation that can be written with Amanda's equation to form a pair of linear equations such that the system of equations has exactly ONE solution? 

Oct 17th, 2017

The second equation should be of the form mx + ny = p, where m, n, and p may be any numbers with only restriction that 2m not = n.

For example, if we have a system 10x + 5y = 20 and x + y = 1, then it will have exactly one solution 

x = 3, y = -2. 

Apr 11th, 2015

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