Answer:
x = -[tex]\frac{6}{4}[/tex]
Step-by-step explanation:
Method 1:
1. Original Equation: -[tex]\frac{4}{9}[/tex]x = [tex]\frac{2}{3}[/tex]
2. Multiply by 9 on both sides: -[tex]\frac{4 * 9}{9}[/tex]x = [tex]\frac{2 * 9}{3}[/tex]
Whatever you do to one side you have to do to the other. You would multiply by 9 on both sides because the LCD of 3 and 9 is 9. You want to make it where you can get rid of the fraction.
3. Simplify: -[tex]\frac{36}{9}[/tex]x = [tex]\frac{18}{3}[/tex]
Simplify the numerators of both fractions.
4. Simplify: -4x = 6
Divide both of your fractions to simplify them.
5. Divide: x = -[tex]\frac{6}{4}[/tex]
Divide by -4 on both sides to get x by itself.
