Question

Решить уравнение (X+4/21)-4/15=16/35 (x-8/9)-4/57=2/3

Answer 1

Клвочоч чвьылвллащмщсщв

Answer 2

To solve the equations, let's work on each equation separately:

1. (X + 4/21) - 4/15 = 16/35

Step 1: Combine the fractions on the left side of the equation:

(X + 4/21) - 4/15 = (15(X + 4/21) - 21 * 4/15) = (15X + 4 - 28)/315

Step 2: Now, the equation becomes:

(15X - 24)/315 = 16/35

Step 3: Cross-multiply:

35 * (15X - 24) = 16 * 315

Step 4: Solve for X:

525X - 840 = 5040

Step 5: Bring the constant term to the other side:

525X = 5880

Step 6: Finally, solve for X:

X = 5880/525

X = 112/10

X = 56/5

2. (x - 8/9) - 4/57 = 2/3

Step 1: Combine the fractions on the left side of the equation:

(x - 8/9) - 4/57 = (57(x - 8/9) - 9 * 4/57) = (57x - 8 - 36)/513

Step 2: Now, the equation becomes:

(57x - 44)/513 = 2/3

Step 3: Cross-multiply:

3 * (57x - 44) = 2 * 513

Step 4: Solve for X:

171x - 132 = 1026

Step 5: Bring the constant term to the other side:

171x = 1158

Step 6: Finally, solve for X:

x = 1158/171

x = 6.7719298... (approximately)

So, the solutions to the given equations are:

X = 56/5 and x = 6.7719298... (approximately)