To solve the equations:
1) 4x - 11 = x + 1
Combine like terms4x - x = 11 + 3x = 1Divide by 3x = 4
2) (1/6)x + 3 = x
Multiply by 6 to clear the fractionx + 18 = 6Subtract x from both sides18 = 5Divide by 5x = 3.6
3) (1/x) + 2 = 0.7/4.2
To simplify the right side of the equation0.7/4.2 = 0.16667
Substitute back into the equation and solve(1/x) + 2 = 0.1666(1/x) = 0.16667 - (1/x) = -1.8333x = 1/(-1.83333x ≈ -0.5455
So, the solutions to the equations arex = 4, x = 3.6, x ≈ -0.5455
To solve the equations:
1) 4x - 11 = x + 1
Combine like terms
4x - x = 11 +
3x = 1
Divide by 3
x = 4
2) (1/6)x + 3 = x
Multiply by 6 to clear the fraction
x + 18 = 6
Subtract x from both sides
18 = 5
Divide by 5
x = 3.6
3) (1/x) + 2 = 0.7/4.2
To simplify the right side of the equation
0.7/4.2 = 0.16667
Substitute back into the equation and solve
(1/x) + 2 = 0.1666
(1/x) = 0.16667 -
(1/x) = -1.8333
x = 1/(-1.83333
x ≈ -0.5455
So, the solutions to the equations are
x = 4, x = 3.6, x ≈ -0.5455