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One linear equation: Ax + By = C (A, B, and C are constants) Another linear equation: Dx + Ey = F (D, E, and F are constants) Their sum: (A+D)x + (B+E)y = (C + F) The coefficients (A+D), (B+E), and (C+F) are still constants, so the sum is still a linear equation.

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Q: If you add two linear equations will you always get a linear equation?
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When you solve a system of linear equations by adding or subtracting what needs to be true about the variable terms in the equations?

I guess you mean, you want to add two equations together. The idea is to do it in such a way that one of the variables disappears from the combined equation. Here is an example:5x - y = 15 2x + 2y = 11 If you add the equations together, no variable will disappear. But if you first multiply the first equation by 2, and then add the resulting equations together, the variable "y" will disappear; this lets you advance with the solution.


How do you solve linear equations using linear combinations?

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In order to solve the following system of equations by addition which could you do before adding the equations so that one variable will be eliminated when you add them?

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How do you solve linear equations by using elimination?

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What two factors of 32 add up to equal -12?

20