Question

Solve the equation

3(n+11)-5n = -2(n-12)+9

Answer 1

infinite number of solutions

Explanation:

3(n + 11) - 5n = - 2(n - 12) + 9 ← distribute parenthesis on both sides

3n + 33 - 5n = - 2n + 24 + 9 , that is

- 2n + 33 = - 2n + 33

since the expressions on both sides are the same then any value of n will make the equation true.

thus the equation has an infinite number of solutions

Answer 2

Any real value. Infinite no. of solutions.

Explanation:

Let's open the bracket first. Multiply the term outside the bracket with each term inside the bracket.

`\Rightarrow` 3(n+11)-5n = -2(n-12)+9

`\Rightarrow` 3n + 33 - 5n = -2n + 24 + 9

Now simplify the n terms on both sides

`\Rightarrow` -2n + 33 = -2n + 33

Here both LHS and RHS are same. And the terms gets canceled. Any real value of n satisfy the above equation.