Question

(-4 1/6x + 11 1/4) * 4/15 + 2/3x - 5 2/3 = 0

Answer 1

Ось так, відповідь на фото

Answer 2

To solve the equation (-4 1/6x + 11 1/4) * 4/15 + 2/3x - 5 2/3 = 0, we can follow these steps:

Step 1: Distribute the 4/15 to the terms inside the parentheses: (-4 1/6x + 11 1/4) * 4/15 = (-4 1/6x) * (4/15) + (11 1/4) * (4/15)

Step 2: Simplify the fractions: (-4 1/6x) * (4/15) = (-25/6x) * (4/15) = -10x/9 (11 1/4) * (4/15) = (45/4) * (4/15) = 3

So the equation becomes: -10x/9 + 3 + 2/3x - 5 2/3 = 0

Step 3: Combine like terms on the left side of the equation: (-10x/9 + 2/3x) + (3 - 5 2/3) = 0

To add the fractions, find a common denominator, which is 9: (-10x/9 + 6/9x) + (3 - 5 6/9) = 0

Step 4: Add the fractions and simplify: (-10x + 6x)/9 + (-2 6/9) = 0 (-4x/9) + (-2 6/9) = 0

Step 5: Combine the constants: -4x/9 - 20/3 = 0

Step 6: To isolate x, add 20/3 to both sides of the equation: -4x/9 = 20/3

Step 7: Multiply both sides by -9 to solve for x: x = (20/3) * (-9/4)

Step 8: Simplify the result: x = -45/2

So, the solution to the equation (-4 1/6x + 11 1/4) * 4/15 + 2/3x - 5 2/3 = 0 is x = -45/2.