Question

x ÷ -5 = 9
x - (-3) = 2

Explanation:

Solving \( x \div -5 = 9 \)

Step1: Multiply both sides by -5

To isolate \( x \), we multiply both sides of the equation \( x \div -5 = 9 \) (which can be written as \( \frac{x}{-5}=9 \)) by \(-5\).

$$ \frac{x}{-5} \times (-5)=9\times (-5) $$

Step2: Simplify both sides

Simplifying the left side, \( \frac{x}{-5} \times (-5) = x \). Simplifying the right side, \( 9\times (-5)= -45 \). So we get \( x = -45 \).

Solving \( x - (-3) = 2 \)

Step1: Simplify the left side

Recall that subtracting a negative is like adding a positive, so \( x - (-3) = x + 3 \). The equation becomes \( x + 3 = 2 \).

Step2: Subtract 3 from both sides

To isolate \( x \), we subtract 3 from both sides of the equation \( x + 3 = 2 \).

$$ x + 3 - 3=2 - 3 $$

Step3: Simplify both sides

Simplifying the left side, \( x+3 - 3=x \). Simplifying the right side, \( 2 - 3=-1 \). So we get \( x=-1 \).

Answer:

For \( x \div -5 = 9 \), \( x = -45 \); for \( x - (-3) = 2 \), \( x=-1 \)