Solve the equation.

$\frac{13+2x}{4x+1}=\frac{3}{4}$

Jaden Easton
2021-09-25
Answered

Solve the equation.

$\frac{13+2x}{4x+1}=\frac{3}{4}$

You can still ask an expert for help

Laith Petty

Answered 2021-09-26
Author has **103** answers

Step 1

The given equation is,

$\frac{13+2x}{4x+1}=\frac{3}{4}$

The objective is to solve the equation for x.

Cross multiplication rule: If$\frac{a}{b}=\frac{c}{d}$ , then a*d=b*c.

Step 2

Use cross multiplication rule to solve the equation as follows.

$\frac{13+2x}{4x+1}=\frac{3}{4}$

4(13+2x)=3(4x+1)

4*13+4*2x=3*4x+3*1

52+8x=12x+3

12x+3=52+8x

Subtract 52 on both sides of the equation.

12x+3−3=52+8x−3

12x=49+8x

Subtract 8x on both sides of the equation.

12x−8x=49+8x−8x

4x=49

$x=\frac{49}{4}\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{or}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}x=12.25$

Thus, the solution of the equation is$x=\frac{49}{4}$ or x=12.25.

The given equation is,

The objective is to solve the equation for x.

Cross multiplication rule: If

Step 2

Use cross multiplication rule to solve the equation as follows.

4(13+2x)=3(4x+1)

4*13+4*2x=3*4x+3*1

52+8x=12x+3

12x+3=52+8x

Subtract 52 on both sides of the equation.

12x+3−3=52+8x−3

12x=49+8x

Subtract 8x on both sides of the equation.

12x−8x=49+8x−8x

4x=49

Thus, the solution of the equation is

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