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Answer :
Answer:
Step-by-step explanation:
355y + 346 = 116
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Rewritten by : Barada
To write the sentence "116 is the product of 355 and [tex]\( y \)[/tex], increased by 346" as an equation, follow these steps:
1. Identify the unknown variable, which is [tex]\( y \)[/tex].
2. "The product of 355 and [tex]\( y \)[/tex]" translates to [tex]\( 355y \)[/tex].
3. "Increased by 346" means you add 346 to the product, resulting in [tex]\( 355y + 346 \)[/tex].
4. "Is" signifies equality, so we set this expression equal to 116.
Putting it all together, the equation is:
[tex]\[ 116 = 355y + 346 \][/tex]
Now, we need to solve for [tex]\( y \)[/tex]. Let's isolate [tex]\( y \)[/tex] on one side of the equation:
1. Subtract 346 from both sides of the equation to get:
[tex]\[ 116 - 346 = 355y \][/tex]
2. Simplify the left-hand side:
[tex]\[ -230 = 355y \][/tex]
3. Finally, divide both sides by 355 to solve for [tex]\( y \)[/tex]:
[tex]\[ y = \frac{-230}{355} \][/tex]
Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (GCD):
[tex]\[ y = \frac{-46}{71} \][/tex]
Therefore, the value of [tex]\( y \)[/tex] is:
[tex]\[ y = -\frac{46}{71} \][/tex]
1. Identify the unknown variable, which is [tex]\( y \)[/tex].
2. "The product of 355 and [tex]\( y \)[/tex]" translates to [tex]\( 355y \)[/tex].
3. "Increased by 346" means you add 346 to the product, resulting in [tex]\( 355y + 346 \)[/tex].
4. "Is" signifies equality, so we set this expression equal to 116.
Putting it all together, the equation is:
[tex]\[ 116 = 355y + 346 \][/tex]
Now, we need to solve for [tex]\( y \)[/tex]. Let's isolate [tex]\( y \)[/tex] on one side of the equation:
1. Subtract 346 from both sides of the equation to get:
[tex]\[ 116 - 346 = 355y \][/tex]
2. Simplify the left-hand side:
[tex]\[ -230 = 355y \][/tex]
3. Finally, divide both sides by 355 to solve for [tex]\( y \)[/tex]:
[tex]\[ y = \frac{-230}{355} \][/tex]
Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (GCD):
[tex]\[ y = \frac{-46}{71} \][/tex]
Therefore, the value of [tex]\( y \)[/tex] is:
[tex]\[ y = -\frac{46}{71} \][/tex]
