Question

1)(a-2)x=2-a 2)(a-2)x=a-2

Answer 1

Вот. вы так в классе оформляете?

Answer 2

To solve the equations (a-2)x = 2-a and (a-2)x = a-2, we can follow the same steps for both equations.

Step 1: Expand the equations (a-2)x = 2 - a becomes ax - 2x = 2 - a (a-2)x = a - 2 becomes ax - 2x = a - 2

Step 2: Combine like terms In both equations, we have ax and -2x terms on the left side. So, we can combine them: ax - 2x = 2 - a and ax - 2x = a - 2

Step 3: Eliminate the common term Since both equations have the same left side, we can equate their right sides and solve for 'a': 2 - a = a - 2

Step 4: Solve for 'a' Add 'a' to both sides: 2 = a - 2 + a

Combine 'a' terms: 2 = 2a - 2

Now, add 2 to both sides to isolate '2a': 2 + 2 = 2a - 2 + 2 4 = 2a

Finally, divide both sides by 2 to solve for 'a': a = 4/2 a = 2

Step 5: Substitute 'a' back into one of the original equations to find 'x' Let's use the first equation (a-2)x = 2 - a: (2-2)x = 2 - 2 0x = 0

Since 0x is always 0, the value of 'x' can be any real number. In other words, the solution to the equations is a pair of equations with 'a' equal to 2 and 'x' being any real number.

So, the solution to the equations is: a = 2 x can be any real number.