Translate the sentence into an equation. The sum of 7 times a number and 2 is 3 . Use the variable \( y \) for the unknown number. ?
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The Deep Dive
To translate the given sentence into an equation, we start by identifying the components of the statement. "7 times a number" can be expressed as \( 7y \). Adding 2 to this gives us \( 7y + 2 \). The phrase "is 3" indicates that this expression is equal to 3. Therefore, the equation you are looking for is: \[ 7y + 2 = 3 \] Now you have a neat equation to work with! If you’re thinking of solving this equation, remember that isolating the variable is key. You’ll want to subtract 2 from both sides: \[ 7y = 3 - 2 \] This simplifies it down to \( 7y = 1 \). Keep moving forward by dividing both sides by 7, and you'll find the value of \( y \). Happy calculating!
