First, let's solve the equation 3/4(x+2)+2/3(x-1)=5:
3/4(x+2)+2/3(x-1)=5(3/4)x + 3/2 + (2/3)x - 2/3 = 5(9/12)x + 6/2 + (8/12)x - 4/6 = 10 (convert fractions to have a common denominator of 12)(17/12)x + 3 = 10(17/12)x = 7x = 7 * 12 / 17x = 84 / 17x ≈ 4.94
Then, let's solve the equation 2x - 3/4 = x/3:
2x - 3/4 = x/3(6)(2x - 3/4) = (x)(6/3)12x - 9/4 = 2x12x = 2x + 9/410x = 9/4x = 9/40
Therefore, x ≈ 4.94 and x = 9/40 are the solutions to the given equations.
First, let's solve the equation 3/4(x+2)+2/3(x-1)=5:
3/4(x+2)+2/3(x-1)=5
(3/4)x + 3/2 + (2/3)x - 2/3 = 5
(9/12)x + 6/2 + (8/12)x - 4/6 = 10 (convert fractions to have a common denominator of 12)
(17/12)x + 3 = 10
(17/12)x = 7
x = 7 * 12 / 17
x = 84 / 17
x ≈ 4.94
Then, let's solve the equation 2x - 3/4 = x/3:
2x - 3/4 = x/3
(6)(2x - 3/4) = (x)(6/3)
12x - 9/4 = 2x
12x = 2x + 9/4
10x = 9/4
x = 9/40
Therefore, x ≈ 4.94 and x = 9/40 are the solutions to the given equations.