Let's solve each equation step by step:
1) 85 + 48/(12-x) = 91
First, we can simplify the left side of the equation by finding the common denominator:
85(12-x) + 48 = 91(12-x)
1020 - 85x + 48 = 1092 - 91x
1068 - 85x = 1092 - 91x
Subtracting 1068 from both sides:
-85x = -24 - 91x
Adding 85x from both sides:
0 = -24 + 6x
Adding 24 from both sides:
6x = 24
Dividing by 6:
x = 4
Therefore, x = 4 for the first equation.
2) 86 - 49/(2x-5) = 79
Following a similar process as above to isolate x:
86(2x-5) - 49 = 79(2x-5)
172x - 430 - 49 = 158x - 395
123 = 14x
x = 123/14
x = 8.7857
Therefore, x ≈ 8.786 for the second equation.
Let's solve each equation step by step:
1) 85 + 48/(12-x) = 91
First, we can simplify the left side of the equation by finding the common denominator:
85(12-x) + 48 = 91(12-x)
1020 - 85x + 48 = 1092 - 91x
1068 - 85x = 1092 - 91x
Subtracting 1068 from both sides:
-85x = -24 - 91x
Adding 85x from both sides:
0 = -24 + 6x
Adding 24 from both sides:
6x = 24
Dividing by 6:
x = 4
Therefore, x = 4 for the first equation.
2) 86 - 49/(2x-5) = 79
Following a similar process as above to isolate x:
86(2x-5) - 49 = 79(2x-5)
172x - 430 - 49 = 158x - 395
172x - 430 - 49 = 158x - 395
123 = 14x
x = 123/14
x = 8.7857
Therefore, x ≈ 8.786 for the second equation.