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 variables of 3x-10+2y+5
11 answers
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 \(5\))
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 \( 14x - 28 \).
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
\[ \boxed{14x - 28} \]
To solve the equation \( \frac{x}{4} + 9 = 12 \), follow these steps:
-
Subtract 9 from both sides to isolate the term with \( x \):
\[ \frac{x}{4} + 9 - 9 = 12 - 9 \]
This simplifies to:
\[ \frac{x}{4} = 3 \]
-
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
\[ \boxed{12} \]
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:
-
Start by adding \( 15 \) to both sides:
\[ \frac{8}{x} = 13 + 15 \] \[ \frac{8}{x} = 28 \]
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Then multiply both sides by \( x \):
\[ 8 = 28x \]
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Finally, solve for \( x \):
\[ x = \frac{8}{28} = \frac{2}{7} \]
However, the only undefined value for this equation remains \( x = 0 \).