Combining like terms yields. x - 2 = 10. Adding 2 to each member yields. x-2+2 =10+2. x = 12. To solve an equation, we use the addition-subtraction property to transform a given equation to an equivalent equation of the form x = a, from which we can find the solution by inspection. Example 3 Solve 2x + 1 = x - 2. Write an equation. Since you are writing an equation that describes the amount of money they will give to the shelter, the variable will be alone on one side of the equation. Since you are combining their profits and tips, you will be adding two terms. So, x = __ + __. The first term will be equal to their profits. This means square both sides if it is a square root; cube both sides if it is a cube root; etc. It is this step that can introduce extraneous roots if both sides are raised to an even power!! Solve. If the equation still contains radicals, repeat steps 1 and 2. If there are no more radicals, solve the resulting equation. Check for extraneous What made this equation so difficult to solve? It's a non-linear integral equation with two variables. Such an equation is so complex that you do actually think there can't possibly be any formula
This is the best way to deal with equations that contain fractions. In the next example, you will see what happens when you have 2 fractions that have different denominators. We still want to get rid of the fractions all in one step. Therefore, we need to multiply all terms by the least common multiple.
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can you solve an equation