find the value. 4x/3+6/9=7/5

Answers 2

Answer:

refer to it

Step-by-step explanation:

refer please

Answer: The value of [tex]x[/tex] in the given equation [tex]\frac{4x}{3} + \frac{6}{9} = \frac{7}{5}[/tex] is [tex]\frac{11}{20}[/tex]

Step-by-step explanation: Given equation is [tex]\frac{4x}{3} + \frac{6}{9} = \frac{7}{5}[/tex]

To find: The value of [tex]x[/tex]

Solution: In the given equation

[tex]\frac{4x}{3} + \frac{6}{9} = \frac{7}{5}[/tex]

Subtracting [tex]\frac{6}{9}[/tex] on the right hand side and left hand side of the equation

[tex]\frac{4x}{3} + \frac{6}{9}-\frac{6}{9} = \frac{7}{5}-\frac{6}{9}[/tex]

[tex]\frac{4x}{3} = \frac{7}{5} - \frac{6}{9}[/tex]

Now,

Considering the least common multiple of the denominators on the right hand side i.e., 5 and 9

The LCM of 5 and 9 is 45

So, we have,

[tex]\frac{4x}{3} = \frac{(7*9) - (6*5)}{45}[/tex]

[tex]\frac{4x}{3} = \frac{63 - 30}{45}[/tex]

[tex]\frac{4x}{3} = \frac{33}{45}[/tex]

Reducing to lowest term

[tex]\frac{4x}{3} = \frac{11}{15}[/tex]

Now, multiplying 3 on both the sides and dividing 4 on both the sides, we will get

[tex]\frac{4x}{3}*(\frac{3}{4}) = \frac{3*11}{4*15}[/tex]

[tex]x= \frac{11}{20}[/tex]

Therefore, the value of [tex]x[/tex] in the given equation [tex]\frac{4x}{3} + \frac{6}{9} = \frac{7}{5}[/tex] is [tex]\frac{11}{20}[/tex]