Question

2 ( a-b )+8 ( a-b )=10 ( a-b )

Answer 1

2(a-b)+8(a-b)=10(a-b)
2a-2b+8a-8b=10a-10b
10a-10b=10a-10b
10a-10a=-10b+10b
0=0

Answer 2

To solve the equation 2(a - b) + 8(a - b) = 10(a - b), you can follow these steps:

1. Distribute the numbers outside the parentheses to the terms inside the parentheses: 2a - 2b + 8a - 8b = 10a - 10b

2. Combine like terms on both sides of the equation. Group the "a" terms and the "b" terms separately: (2a + 8a) - (2b + 8b) = 10a - 10b

3. Simplify the expressions on both sides: 10a - 10b = 10a - 10b

4. Now, observe that the equation has the same terms on both sides, so it's what's called an "identity." This means that no matter what values you plug in for "a" and "b," the equation will always be true.

So, the solution to the equation is that it's true for all values of "a" and "b." In other words, it's an identity and doesn't have a unique solution.