To solve the first equation:
7x - 9/12 = 35/84
First, simplify both sides of the equation by converting all fractions to have a common denominator:
7x - 3/4 = 5/12
Now, multiply both sides of the equation by 12 to eliminate the fraction:
12(7x - 3/4) = 12(5/12)
84x - 9 = 5
Add 9 to both sides:
84x = 14
Divide by 84 to solve for x:
x = 14/84x = 1/6
So, the solution to the first equation is x = 1/6.
To solve the second equation:
2x + 7/17 = 60/68
2x + 4/17 = 15/17
Now, subtract 4/17 from both sides of the equation:
2x = 15/17 - 4/172x = 11/17
Divide by 2 to solve for x:
x = 11/34
So, the solution to the second equation is x = 11/34.
To solve the first equation:
7x - 9/12 = 35/84
First, simplify both sides of the equation by converting all fractions to have a common denominator:
7x - 3/4 = 5/12
Now, multiply both sides of the equation by 12 to eliminate the fraction:
12(7x - 3/4) = 12(5/12)
84x - 9 = 5
Add 9 to both sides:
84x = 14
Divide by 84 to solve for x:
x = 14/84
x = 1/6
So, the solution to the first equation is x = 1/6.
To solve the second equation:
2x + 7/17 = 60/68
First, simplify both sides of the equation by converting all fractions to have a common denominator:
2x + 4/17 = 15/17
Now, subtract 4/17 from both sides of the equation:
2x = 15/17 - 4/17
2x = 11/17
Divide by 2 to solve for x:
x = 11/34
So, the solution to the second equation is x = 11/34.