Question

Solve the equation:2y+11/4=1/3y+2​

Answer 1

Step-by-step explanation:

Let's solve your equation step-by-step.

2y+

11

4

=

1

3

y+2

Step 1: Subtract 1/3y from both sides.

2y+

11

4

−

1

3

y=

1

3

y+2−

1

3

y

5

3

y+

11

4

=2

Step 2: Subtract 11/4 from both sides.

5

3

y+

11

4

−

11

4

=2−

11

4

5

3

y=

−3

4

Step 3: Multiply both sides by 3/5.

(

3

5

)*(

5

3

y)=(

3

5

)*(

−3

4

)

y=

−9

20

Answer:

y=

−9

20

Answer 2

Following are the steps for getting the answer:

Given:

$2y+\frac{11}{4}=\frac{1}{3}y+2$

to find:

$2y+\frac{11}{4}=\frac{1}{3}y+2$=?

Solution:

we have to solve the given equation$2y+\frac{11}{4}=\frac{1}{3}y+2$

so first we will seperate the like terms

we get,

$2y+\frac{1}{3}y=\frac{11}{4} +2$

if there is nothing in the denominator, so there is 1

$\frac{2y}{1} +\frac{1}{3y}= \frac{11}{4} +\frac{2}{1}$

$\frac{6y^2+1}{3y} =\frac{11+8}{4} \\\\\frac{6y^2+1}{3y} =\frac{19}{4}$

now, we will do a cross multiplication

4(6y²+1)=19(3y)

24y²+4= 57y

24y²+4-57y=0

24y²-57y+4=0

this is the quadratic equation

thus, the answer is 24y²-57y+4=0