Question

(0,8х-1,2)=-х+7,2 2/3х=2/9х-4/9

Answer 1

0,8x-1,2+x-7,2=0
1,8x-8,4=0
1,8x=8,4
x=8,4/1,8=14/3=4 2/3

2/3x-2/9x+4/9=0
6/9x-2/9x+4/9=0
4/9x+4/9=0
4/9x=-4/9
x=-4/9 : 4/9=-1

Answer 2

To solve the equations, let's find the value of "x" step by step.

1. Solving the equation (0.8x - 1.2) = -x + 7.2:

Step 1: Remove parentheses by distributing the terms on the left side. 0.8x - 1.2 = -x + 7.2

Step 2: Add "x" to both sides to isolate the term containing "x" on one side of the equation. 0.8x + x - 1.2 = 7.2

Step 3: Combine the "x" terms on the left side. 1.8x - 1.2 = 7.2

Step 4: Add 1.2 to both sides to isolate the "x" term. 1.8x = 7.2 + 1.2 1.8x = 8.4

Step 5: Divide both sides by 1.8 to solve for "x". x = 8.4 / 1.8 x = 4.67 (rounded to two decimal places)

So, the value of "x" in the first equation is approximately 4.67.

2. Solving the equation (2/3)x = (2/9)x - 4/9:

Step 1: Get rid of the denominators by multiplying both sides of the equation by the common denominator of 9 to simplify. 9 * (2/3)x = 9 * ((2/9)x - 4/9)

Step 2: Simplify the equation. 6x = 2x - 4

Step 3: Subtract 2x from both sides to isolate the "x" term. 6x - 2x = -4

Step 4: Combine the "x" terms on the left side. 4x = -4

Step 5: Divide both sides by 4 to solve for "x". x = -4 / 4 x = -1

So, the value of "x" in the second equation is -1.