Final answer:
To translate the given sentence into an equation, the product of 5 and a number (represented by y) is subtracted by 7 and equals 9. The solution for y is 3.2.
Step-by-step explanation:
To translate the sentence "Seven less than the product of 5 and a number equals 9" into an equation, we can use the variable y to represent the unknown number. The product of 5 and a number can be written as 5y, and "seven less than" this product can be written as 5y - 7. So, the equation becomes:
5y - 7 = 9
In this equation, we are subtracting 7 from the product of 5 and the unknown number, and the result should be equal to 9. To solve for y, we can add 7 to both sides of the equation:
5y = 16
Finally, we divide both sides of the equation by 5 to isolate y:
y = 3.2
Learn more about Translating sentences into equations