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How Do You Solve Linear Equations In Algebra?

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How Do You Solve Linear Equations In Algebra?

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A linear equation consists of constants and variables to the first power. There can be more than a single variable in a linear equation, but they must all be to the first power. If it is not to the first power, it is a nonlinear equation. Linear equations are usually the simplest to solve. First, take a look at the equation and make sure it is linear. Remember all variables should be to the first power. For example, 2(x+3)-(x+4)=-2(x+3)+11 Next, multiply the factors. In our example, 2x+6-x-4=-2x-6+11. Now, you will need to group all the like terms. For our example, x+2=-2x+5. You will now need to get all the common terms on the same side. So in our example, we will add 2x to both sides and subtract 2 from both sides. This will give us 3x=3. The final step is to solve for x. With our example, we will divide both sides by 3. This gives us x=1.

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