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Solve the linear equation 1 / 2 x + 10 = 1 / 4 x + 54. What was your first step and why

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Final answer:

The first step to solve the given linear equation is to eliminate fractions by multiplying all terms by a common multiplier (4 in this case). The equation then simplifies to 2x + 40 = x + 216, which further simplifies to x = 176.

Step-by-step explanation:

The first step to solve the linear equation 1 / 2 x + 10 = 1 / 4 x + 54 would be to eliminate the fractions. This makes it simpler to deal with the equation. You can do this by finding a common multiplier, which in this case would be 4. When you multiply all terms by 4, the equation becomes: 2x + 40 = x + 216. The next step would be to simplify the equation by getting all x terms on one side and constant values on the other. This results in the equation x = 176. Therefore, the solution to the equation is x = 176.

Learn more about Solving Linear Equations

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