To solve for y in the given equation, we first need to simplify each term separately.
1) For the first equation: 7/8y = 1 To isolate y, we can multiply both sides of the equation by 8/7: y = 8/7
2) For the second equation: 1 1/4y - 5/7y = 2/9 Rewrite 1 1/4 as 5/4: 5/4y - 5/7y = 2/9 To add fractions, we need a common denominator. In this case, we can use 28. (35/28)y - (20/28)y = 2/9 (15/28)y = 2/9 To isolate y, we multiply both sides by 28/15: y = 16/105
3) For the third equation: 92/15y + 3/4 = 5/6 First, subtract 3/4 from both sides: 92/15y = 5/6 - 3/4 Using a common denominator of 12, we get: 92/15y = 10/12 - 9/12 92/15y = 1/12 To solve for y, we multiply both sides by 15/92: y = 15/1104 = 5/368
In conclusion, the solutions to the given equations are: y = 8/7, 16/105, 5/368
To solve for y in the given equation, we first need to simplify each term separately.
1) For the first equation: 7/8y = 1
To isolate y, we can multiply both sides of the equation by 8/7:
y = 8/7
2) For the second equation: 1 1/4y - 5/7y = 2/9
Rewrite 1 1/4 as 5/4:
5/4y - 5/7y = 2/9
To add fractions, we need a common denominator. In this case, we can use 28.
(35/28)y - (20/28)y = 2/9
(15/28)y = 2/9
To isolate y, we multiply both sides by 28/15:
y = 16/105
3) For the third equation: 92/15y + 3/4 = 5/6
First, subtract 3/4 from both sides:
92/15y = 5/6 - 3/4
Using a common denominator of 12, we get:
92/15y = 10/12 - 9/12
92/15y = 1/12
To solve for y, we multiply both sides by 15/92:
y = 15/1104 = 5/368
In conclusion, the solutions to the given equations are:
y = 8/7, 16/105, 5/368