Question

3(a +3b) -2(2a + b) = 7b-a​

Answer 1

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Answer 2

To solve the equation 3(a + 3b) - 2(2a + b) = 7b - a, let's simplify it step by step:

First, distribute the coefficients inside the parentheses:

3(a + 3b) - 2(2a + b) = 7b - a 3a + 9b - 4a - 2b = 7b - a

Next, combine like terms on both sides of the equation:

(3a - 4a) + (9b - 2b) = 7b - a

• a + 7b = 7b - a

Now, we can see that both sides of the equation have the same terms with opposite signs. If we add "a" to both sides and subtract "7b" from both sides, the equation becomes:

• a + a + 7b - 7b = 7b - a + a - 7b 0 = 0

The equation 3(a + 3b) - 2(2a + b) = 7b - a is an identity, which means that it holds true for any values of "a" and "b". Therefore, the solution to the equation is all real numbers.