Question

Solve for d
6d-11/2=2d-13/2

Answer 1

Answer: $d=-1/4$

Step-by-step explanation:

Simplify both sides of the equation

$6d+-11/2=2d+-13/2$

Subtract 2d from both sides

$6d+-11/2-2d=2d+-13/2-2d$

$4d+-11/2=-13/2$

Add 11/2 to both sides

$4d+-11/2+11/2=-13/2+11/2$

Divide both sides by 4

$4d/4=-1/4$

Get your answer

$d=-1/4$

Answer 2

Answer:

-1/4

Step-by-step explanation:

6d-11/2=2d-13/2

Collect like terms

6d-2d=11/2-13/2

4d=11/2-13/2

4d=(11-13)/2 Using LCM

4d=-2/2

4d=-1

Divide both sides by 4

4d/4=-1/4

d=-1/4

To check if the answer is correct, substitute d with -1/4. And then both sides of the equation must be equal

6d-11/2=2d-13/2

6(-1/4)-11/2=2(-1/4)-13/2

-6/4-11/2=-2/4-13/2

Let's put the figure with the same denominator in the same side of the equation

-11/2+13/2=-2/4+6/4

(-11+13)/2=(-2+6)/4

-2/2=-4/4

-1=-1