Combine the X terms: -7X / 19 = Multiply both sides by 19 to isolate X: -7X = 3 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) = Multiply both sides by (11 - X): 48 = 6(11 - X Expand: 48 = 66 - 6 Subtract 66 from both sides: -18 = -6 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) = - Multiply both sides by (2X - 5): -49 = -7(2X - 5 Expand: -49 = -14X + 3 Subtract 35 from both sides: -84 = -14 Divide by -14 to solve for X: X = 84 / 14 = 6
Therefore, the solutions to the equations are 1) X = -5.4 2) X = 3) X = 6
To solve the given equations:
1) (15X - 22X) / 19 = 2
Combine the X terms: -7X / 19 =
Multiply both sides by 19 to isolate X: -7X = 3
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) =
Multiply both sides by (11 - X): 48 = 6(11 - X
Expand: 48 = 66 - 6
Subtract 66 from both sides: -18 = -6
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) = -
Multiply both sides by (2X - 5): -49 = -7(2X - 5
Expand: -49 = -14X + 3
Subtract 35 from both sides: -84 = -14
Divide by -14 to solve for X: X = 84 / 14 = 6
Therefore, the solutions to the equations are
1) X = -5.4
2) X =
3) X = 6