Question

Is the number given a solution of the equation? $$12-2 y=6 ; 4$$

Short answer

No, 4 is not a solution to the equation \(12 - 2y = 6\).

Step-by-step solution

Understand the equation

The provided equation is \(12 - 2y = 6\). We have to check if \(y = 4\) is a solution to this equation.

Substitute the given value

Substitute \(y = 4\) into the equation. So, the equation becomes \(12 - 2 * 4 = 6\). After multiplication, the equation becomes \(12 - 8 = 6\).

Simplify the equation

Resolve the subtraction operation on left hand side and the equation becomes \(4 = 6\).

Verify

The simplified equation gives \(4 = 6\). Since 4 is not equal to 6, it means that \(y = 4\) is not a solution to the equation \(12 - 2y = 6\).