what are the variables of 3x-10+2y+5

11 answers

In the expression \( 3x - 10 + 2y + 5 \), the variables are \( x \) and \( y \). The expression can be simplified further to \( 3x + 2y - 5 \), but the variables remain \( x \) and \( y \).

what are the coefficients?

what are the constants?

In the expression \( 3x - 10 + 2y + 5 \), we can identify the coefficients and constants as follows:

Coefficients:

  • The coefficient of \( x \) is \( 3 \).
  • The coefficient of \( y \) is \( 2 \).

Constants:

  • The constants in the expression are \( -10 \) and \( +5 \).
  • When combined, they simplify to \( -5 \) (i.e., \(-10 + 5 = -5\)).

So, to summarize:

  • Coefficients: \( 3 \) (for \( x \)) and \( 2 \) (for \( y \))
  • Constant: \( -5 \) (after combining \(-10\) and \(5\))
Simplify using the distributive property.
7(2x-4)

To simplify the expression \( 7(2x - 4) \) using the distributive property, you will multiply \( 7 \) by each term inside the parentheses:

\[ 7(2x) - 7(4) \]

Now perform the multiplication:

\[ = 14x - 28 \]

So, the simplified expression is \( 14x - 28 \).

Simplify using the distributive property.
7(2x-4)=

To simplify the expression \( 7(2x - 4) \) using the distributive property, you multiply \( 7 \) by each term inside the parentheses:

\[ 7(2x) - 7(4) \]

This results in:

\[ = 14x - 28 \]

Thus, the simplified expression is

\[ \boxed{14x - 28} \]

x/4+9=12

To solve the equation \( \frac{x}{4} + 9 = 12 \), follow these steps:

  1. Subtract 9 from both sides to isolate the term with \( x \):

    \[ \frac{x}{4} + 9 - 9 = 12 - 9 \]

    This simplifies to:

    \[ \frac{x}{4} = 3 \]

  2. Multiply both sides by 4 to solve for \( x \):

    \[ 4 \cdot \frac{x}{4} = 3 \cdot 4 \]

    This simplifies to:

    \[ x = 12 \]

So the solution to the equation is

\[ \boxed{12} \]

what is the undefined value for 8/x-15 = 13

To find the undefined value for the equation \( \frac{8}{x} - 15 = 13 \), we first need to set the denominator of the fraction equal to zero, as that will make the expression undefined.

The denominator in this case is \( x \). Therefore, the expression is undefined when:

\[ x = 0 \]

Thus, the undefined value for the expression \( \frac{8}{x} - 15 = 13 \) is

\[ \boxed{0} \]

If you want to simplify the equation or solve it, here's how you would do it:

  1. Start by adding \( 15 \) to both sides:

    \[ \frac{8}{x} = 13 + 15 \] \[ \frac{8}{x} = 28 \]

  2. Then multiply both sides by \( x \):

    \[ 8 = 28x \]

  3. Finally, solve for \( x \):

    \[ x = \frac{8}{28} = \frac{2}{7} \]

However, the only undefined value for this equation remains \( x = 0 \).