Combine the X terms: -7X / 19 = 2 Multiply both sides by 19 to isolate X: -7X = 38 Divide by -7 to solve for X: X = -38 / 7 = -5.43 (rounded to two decimal places)
2) 85 + 48 / (11 - X) = 91
Subtract 85 from both sides: 48 / (11 - X) = 6 Multiply both sides by (11 - X): 48 = 6(11 - X) Expand: 48 = 66 - 6X Subtract 66 from both sides: -18 = -6X Divide by -6 to solve for X: X = 18 / 6 = 3
3) 86 - 49 / (2X - 5) = 79
Subtract 86 from both sides: -49 / (2X - 5) = -7 Multiply both sides by (2X - 5): -49 = -7(2X - 5) Expand: -49 = -14X + 35 Subtract 35 from both sides: -84 = -14X Divide by -14 to solve for X: X = 84 / 14 = 6
Therefore, the solutions to the equations are: 1) X = -5.43 2) X = 3 3) X = 6
To solve the given equations:
1) (15X - 22X) / 19 = 2
Combine the X terms: -7X / 19 = 2
Multiply both sides by 19 to isolate X: -7X = 38
Divide by -7 to solve for X: X = -38 / 7 = -5.43 (rounded to two decimal places)
2) 85 + 48 / (11 - X) = 91
Subtract 85 from both sides: 48 / (11 - X) = 6
Multiply both sides by (11 - X): 48 = 6(11 - X)
Expand: 48 = 66 - 6X
Subtract 66 from both sides: -18 = -6X
Divide by -6 to solve for X: X = 18 / 6 = 3
3) 86 - 49 / (2X - 5) = 79
Subtract 86 from both sides: -49 / (2X - 5) = -7
Multiply both sides by (2X - 5): -49 = -7(2X - 5)
Expand: -49 = -14X + 35
Subtract 35 from both sides: -84 = -14X
Divide by -14 to solve for X: X = 84 / 14 = 6
Therefore, the solutions to the equations are:
1) X = -5.43
2) X = 3
3) X = 6