Solve each variable. Express answers as reduced fractions if necessary. \( \frac{x}{3}+7=19 \) Select one:
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The Deep Dive
To solve the equation \( \frac{x}{3}+7=19 \), first isolate the variable by subtracting 7 from both sides. This gives us \( \frac{x}{3} = 12 \). Next, multiply both sides by 3 to get \( x = 36 \). So the solution is \( x = 36 \). Now, who doesn't love a little math history? Did you know that fractions date back to ancient Egyptians and Babylonians? They developed methods to represent parts of a whole using symbols, which eventually evolved into the fraction notation we're familiar with today. As for applying this knowledge in the real world, understanding fractions is crucial when dealing with measurements, such as cooking or crafting. For instance, if a recipe calls for \( \frac{1}{2} \) cup of sugar and you want to halve it, knowing how to manipulate fractions will save you from a sweet disaster!
