Question

5d+1/7 = 6d-5/15
Please help me solve this proportion. I am desperate.

Answer 1

d=10/21

Explanation:

You must subtract 6d from both sides so your equation is now (-1d+1/7=-5/15) Then you must subtract 1/7 from both sides so your equation would be (-1d=-10/21) Then to get d by itself you must divide by -1 so now you get (d=10/21)

Hope this helped!

Answer 2

d = 10/21

Explanation:

This is more of an algebra problem. To solve this problem, we must make the fractions the same denominator.

Because the LCM of 15 and 7 is 105, lets use that as a denominator for the fractions.

1/7 = ?/105

105/7 = 15

1 * 15 = 15

15/105

5/15 = ?/105

105/15 = 7

5 * 7 = 35

35/105

Not we have a new equation.

5d + 15/105 = 6d - 35/105

We must isolate the variables to solve this problem. If you add, subtract, multiply, or divide the same number on both sides of the equation, the answer will stay the same.

Subtract 5d on both sides.

5d - 5d + 15/105 = 6d - 5d - 35/105

Combine like terms.

15/105 = d - 35/105

Add 35/105 on both sides.

15/105 + 35/105= d - 35/105 + 35/105

Combine like terms.

50/105 = d

Simplify the fraction.

50/ 5=10

105/ 5 = 21

d = 10/21