Solve for x: three fourths times x plus five fourths equals four times x

x equals thirteen fifths
x equals five thirteenths
x equals three elevenths
x equals eleven thirds

Respuesta :

Answer:

x equals  five thirteenths

Step-by-step explanation:

To solve this, we will follow the steps below;

[tex]\frac{3}{4}[/tex] ×  x  + [tex]\frac{5}{4}[/tex]  =  4 × x

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

[tex]\frac{3x + 5}{4}[/tex] =  4x

Multiply both-side of the equation by 4

[tex]\frac{3x + 5}{4}[/tex] × 4=  4x × 4

On the left-hand side of the equation 4 will cancel-out 4, thus the equation becomes;

3x + 5 = 16x

subtract 3x from both-side of the equation

16x - 3x = 5

13x = 5

Divide both-side of the equation by 13

[tex]\frac{13x}{13}[/tex] = [tex]\frac{5}{13}[/tex]

(On the left-hand side of the equation 13 at the numerator will cancel-out 13 at the denominator while on the right-hand side of the equation 5 will be divided by 13)

x = [tex]\frac{5}{13}[/tex]

x equals  five thirteenths

Answer:

x=5/13 or x equals five thirteenths

Step-by-step explanation:

took test and it was correct