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You need to make the terms on each side as much alike as possible in the two equations for easy thought process.

For example, Let us look at the following two equations.

a * b = c * d --- (1)

x * d = k * a --- (2)

Rearrange (2) so that 'd' is on the right side of the equation and 'a' on the left.

a * k = x * d --- (3)

Divide (1) by (3):

b / k = c / x --- (4)

I have eliminated two variables from (1) and (2) to form equation (4).

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Q: What is the process of solving systems of equations when you add the two equations together in hopes of eliminating a variable?
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