To solve these equations, we need to isolate the variable "a".
For equation 1: (a-2)x = 2-a
First, distribute the x on the left side: ax - 2x = 2 - a
Next, add "a" to both sides: ax -2x + a = 2 - a + a
Simplify: ax - 2x + a = 2
Now, factor out the common factor on the left side: x(a - 2) = 2
Divide both sides by (a-2): x = 2/(a-2)
Therefore, the solution for equation 1 is x = 2/(a-2).
For equation 2: (a-2)x = a - 2
Proceed similarly:
ax - 2x = a - 2ax - 2x - a = a - 2 - aax - 2x - a = - 2
Factor out common factor on the left side:
x(a - 2) = -2
Divide both sides by (a-2):
x = -2/(a-2)
Therefore, the solution for equation 2 is x = -2/(a-2).
To solve these equations, we need to isolate the variable "a".
For equation 1: (a-2)x = 2-a
First, distribute the x on the left side: ax - 2x = 2 - a
Next, add "a" to both sides: ax -2x + a = 2 - a + a
Simplify: ax - 2x + a = 2
Now, factor out the common factor on the left side: x(a - 2) = 2
Divide both sides by (a-2): x = 2/(a-2)
Therefore, the solution for equation 1 is x = 2/(a-2).
For equation 2: (a-2)x = a - 2
Proceed similarly:
ax - 2x = a - 2
ax - 2x - a = a - 2 - a
ax - 2x - a = - 2
Factor out common factor on the left side:
x(a - 2) = -2
Divide both sides by (a-2):
x = -2/(a-2)
Therefore, the solution for equation 2 is x = -2/(a-2).