Question

3/2/9x-2/5/12=2/1/3x-1/3/4 1,6(y-2)-0,4(5-3y)-0,8(4y+2)

Answer 1

3 2/9 х - 2 5/12=2 1/3 х - 1 3/4
3 2/9 х - 2 3/9 х=2 5/12 - 1 9/12
8/9 х= 2/3
х= 2/3 : 8/9
х=2/3 * 9/8
х=3/4

1,6(у-2)-0,4(5-3у)-0,8(4у+2)=1,6у -3,2-2+1,2у-3,2у-1,6= - 0,4у - 6,8

Answer 2

To solve the given equations, let's simplify and solve them step by step.

Equation 1: (3/2)(9x) - (2/5)(12) = (2/1)(3x) - (1/3)(4)

Step 1: Simplify the equation by multiplying the fractions:

(27/2)x - (24/5) = 6x - (4/3)

Step 2: To eliminate the fractions, let's find the common denominator for all the fractions involved, which is 30:

Multiply the equation by 30:

30[(27/2)x - (24/5)] = 30[6x - (4/3)]

Step 3: Simplify both sides of the equation:

30 * (27/2)x - 30 * (24/5) = 30 * 6x - 30 * (4/3)

(405/2)x - (144/5) = 180x - (40/3)

Step 4: Simplify further:

(405/2)x - (144/5) = 180x - (40/3)

Multiply the equation by 30 to eliminate the fractions:

30 * [(405/2)x - (144/5)] = 30 * [180x - (40/3)]

Step 5: Simplify both sides:

30 * (405/2)x - 30 * (144/5) = 30 * 180x - 30 * (40/3)

(405/2) * 30x - (144/5) * 30 = 180 * 30x - (40/3) * 30

(2025/2)x - (864/5) = 5400x - (1200/3)

Step 6: Simplify further:

(2025/2)x - (864/5) = 5400x - 400

Now, you can solve the equation for x by isolating the variable on one side.