To solve the system of equations 7x + 2y = -3 and -14x - 4y = 6 by linear combination method, the equations have to be modified so that they can be added together to eliminate one of the variables.
7x + 2y = -3
Divide -14x - 4y = 6 by 2, this gives -7x - 2y = 3. This equation is the same as 7x + 2y = -3.
The equations 7x + 2y = -3 and -14x - 4y = 6 represent the same straight line. As a result this system of equations does not have a unique solution. There are infinite combinations of x and y that satisfy both the equations.
Saturday, December 17, 2016
McDougal Littell Algebra 2, Chapter 3, 3.2, Section 3.2, Problem 32
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