Question

-2/3 + (х - 1/4) = 0; 2) - 2/3 + (1/4 - х) = 0

Answer 1

-2/3 + (х - 1/4) = 0;

x - 1/4 = 2/3

x = 2/3 + 1/4

x = 8/12 + 3/12

x = 11/12

2)

- 2/3 + (1/4 - х) = 0

1/4 - x = 2/3

x = 1/4 - 2/3

x = 3/12 - 8/12

x = -5/12

Answer 2

1. -2/3+(x-1/4)=0
-2/3+x-1/4=0
-2/3-1/4+x=0
-8/12-3/12+x=0
-11/12+x=0
x=0+11/12
x=11/12

2. -2/3+(1/4-x)=0
-2/3+1/4-x=0
-8/11+3/12-x=0
-5/12+x=0
x=0+5/12
x=5/12

Answer 3

To solve the given equations, we need to find the value of 'x' that satisfies each equation. Let's solve them step-by-step:

1. -2/3 + (x - 1/4) = 0

Step 1: Get rid of the constant term by adding 2/3 to both sides: -2/3 + (x - 1/4) + 2/3 = 0 + 2/3

Simplify: x - 1/4 = 2/3

Step 2: Now, isolate 'x' by adding 1/4 to both sides: x - 1/4 + 1/4 = 2/3 + 1/4

Simplify: x = 2/3 + 1/4

Step 3: Find a common denominator to add the fractions: x = (8/12) + (3/12)

Simplify: x = 11/12

So the solution to the first equation is x = 11/12.

2. -2/3 + (1/4 - x) = 0

Step 1: Rearrange the equation to bring the 'x' term on the left side: -2/3 - x + 1/4 = 0

Step 2: To get rid of the constant term, add 2/3 to both sides: -2/3 - x + 1/4 + 2/3 = 0 + 2/3

Simplify: -x + 1/4 = 2/3

Step 3: Isolate 'x' by subtracting 1/4 from both sides: -x + 1/4 - 1/4 = 2/3 - 1/4

Simplify: -x = 5/12

Step 4: Finally, multiply both sides by -1 to solve for 'x': x = -5/12

So the solution to the second equation is x = -5/12.

To summarize:

1. x = 11/12
2. x = -5/12