Answer:
The value of x for the given expression is [tex]\dfrac{5}{13}[/tex]
Step-by-step explanation:
Given as :
The statement is , three fourths times x plus five fourths equals four times x
So, [tex]\dfrac{3}{4}[/tex] × x + [tex]\dfrac{5}{4}[/tex] = 4 × x
Now, rearranging the equation
i.e 4 x - [tex]\dfrac{3}{4}[/tex] × x = [tex]\dfrac{5}{4}[/tex]
Or, 4 x - [tex]\dfrac{3 x}{4}[/tex] = [tex]\dfrac{5}{4}[/tex]
Or, [tex]\dfrac{16 x - 3 x}{4}[/tex] = [tex]\dfrac{5}{4}[/tex]
Or, [tex]\dfrac{13 x}{4}[/tex] = [tex]\dfrac{5}{4}[/tex]
Or, 13 x = [tex]\dfrac{5}{4}[/tex] × 4
Or, 13 x = 5
∴ x = [tex]\dfrac{5}{13}[/tex]
Hence, The value of x for the given expression is [tex]\dfrac{5}{13}[/tex] Answer
