SAT Question c6a26e14: Nonlinear Equations In One Variable And Systems Of Equations In Two Variables answer and explanation with Desmos solution

Choice A is correct. The given absolute value equation can be rewritten as two linear equations: $x+45=48$ and $-\left(x+45\right)=48$, or $x+45=-48$. Subtracting $45$ from both sides of the equation $x+45=48$ yields $x=3$. Subtracting $45$ from both sides of the equation $x+45=-48$ yields $x=-93$. Thus, the given equation has two possible solutions, $3$ and $-93$. Therefore, the positive solution to the given equation is $3$.