To solve the first equation, we first simplify it by finding a common denominator for 5 and 8, which is 40.
So the equation becomes:
8x/40 + 24/40 + 35/40 = 19/5
Combine the fractions:
8x/40 + 59/40 = 19/5
Now we need to find a common denominator for 40 and 5, which is 200.
8x/200 + 59/200 = 152/25
8x + 59 = 152
Subtract 59 from both sides:
8x = 93
Divide by 8:
x = 11.625
To solve the second equation, we follow a similar process. First simplify by finding a common denominator for 8 and 2, which is 8.
8x/8 + 33/8 = 25/2
x + 33/8 = 25/2
Now we need to find a common denominator for 8 and 2, which is 8.
x/8 + 33/8 = 100/8
x + 33 = 100
Subtract 33 from both sides:
x = 67
Therefore, the solutions to the two equations are x = 11.625 and x = 67.
To solve the first equation, we first simplify it by finding a common denominator for 5 and 8, which is 40.
So the equation becomes:
8x/40 + 24/40 + 35/40 = 19/5
Combine the fractions:
8x/40 + 59/40 = 19/5
Now we need to find a common denominator for 40 and 5, which is 200.
8x/200 + 59/200 = 152/25
Combine the fractions:
8x + 59 = 152
Subtract 59 from both sides:
8x = 93
Divide by 8:
x = 11.625
To solve the second equation, we follow a similar process. First simplify by finding a common denominator for 8 and 2, which is 8.
So the equation becomes:
8x/8 + 33/8 = 25/2
Combine the fractions:
x + 33/8 = 25/2
Now we need to find a common denominator for 8 and 2, which is 8.
x/8 + 33/8 = 100/8
Combine the fractions:
x + 33 = 100
Subtract 33 from both sides:
x = 67
Therefore, the solutions to the two equations are x = 11.625 and x = 67.