1) To solve the first equation 3x + 7/5 = 6x + 4/5, you first need to simplify the equation by getting rid of the fractions.
By moving the fractions to the left side:3x + 7/5 - 4/5 = 6x3x + 3/5 = 6x3x = 6x - 3/5
Then, subtract 6x from both sides:-3x = -3/5
Now, divide by -3 to solve for x:x = -3/5 / -3x = 1/5
Therefore, the solution to the first equation is x = 1/5.
2) To solve the second equation 7x - 3/6 = 5x + 1/2, follow the same steps as above to simplify and solve for x:
7x - 3/6 = 5x + 1/27x - 1/2 = 5x + 1/27x - 5x = 1/2 + 1/22x = 1x = 1/2
Therefore, the solution to the second equation is x = 1/2.
3) To solve the third equation 2x - 1/6 = 6 - x/8, follow the same steps as above:
2x - 1/6 = 6 - x/82x = 6 + x/8 + 1/62x = 36/6 + x/8 + 8/62x = 36/6 + x/8 + 24/62x = 60/6 + 3x/242x = 10 + 3x/242x = 10 + 3x/242x = 10 + 3x/24(2x)(24) = 10(24) + 3x48x = 240 + 3x45x = 240x = 240/45x = 16/3
Therefore, the solution to the third equation is x = 16/3.
1) To solve the first equation 3x + 7/5 = 6x + 4/5, you first need to simplify the equation by getting rid of the fractions.
By moving the fractions to the left side:
3x + 7/5 - 4/5 = 6x
3x + 3/5 = 6x
3x = 6x - 3/5
Then, subtract 6x from both sides:
-3x = -3/5
Now, divide by -3 to solve for x:
x = -3/5 / -3
x = 1/5
Therefore, the solution to the first equation is x = 1/5.
2) To solve the second equation 7x - 3/6 = 5x + 1/2, follow the same steps as above to simplify and solve for x:
7x - 3/6 = 5x + 1/2
7x - 1/2 = 5x + 1/2
7x - 5x = 1/2 + 1/2
2x = 1
x = 1/2
Therefore, the solution to the second equation is x = 1/2.
3) To solve the third equation 2x - 1/6 = 6 - x/8, follow the same steps as above:
2x - 1/6 = 6 - x/8
2x = 6 + x/8 + 1/6
2x = 36/6 + x/8 + 8/6
2x = 36/6 + x/8 + 24/6
2x = 60/6 + 3x/24
2x = 10 + 3x/24
2x = 10 + 3x/24
2x = 10 + 3x/24
(2x)(24) = 10(24) + 3x
48x = 240 + 3x
45x = 240
x = 240/45
x = 16/3
Therefore, the solution to the third equation is x = 16/3.