X increased by three and equal to the product of 2 and y five times y is equal to negative x - 10 write it as an equation

Answer 1

To translate your statement into an equation, we can break it down into parts:

1. "X increased by three" can be written as \( x + 3 \).
2. "is equal to the product of 2 and y" translates to \( 2y \).
3. "five times y" gives us \( 5y \).
4. "...is equal to negative x - 10" translates to \( -x - 10 \).

From your description, we can combine these parts into the equation:

\[ x + 3 = 2y + 5y \] \[ x + 3 = -x - 10 \]

Now you have two expressions to work with. To clarify, let's combine \( 2y + 5y \):

So, the equation simplifies to:

\[ x + 3 = 7y \]

This can also be set equal to the other expression:

\[ 7y = -x - 10 \]

Thus, we can summarize these as two equations:

1. \( x + 3 = 7y \)
2. \( 7y = -x - 10 \)

If you want to combine everything into one equation, we can express it as:

\[ x + 3 + x + 10 - 7y = 0 \]

Or, combining the terms gives:

\[ 2x - 7y + 13 = 0 \]

You can choose any form based on your preference!