10 = 2x + 4 How many solutions exist to the equation shown above?

The correct answer is B. Choice B is correct. Subtracting 4 from each side of the given equation yields 6 = 2x , or x = 3 , so the equation has a unique solution of x = 3 .

Note: The graph of the equation shows a single vertical line at x = 3, so the equation has exactly one solution.

SAT Question 550b352c: Answer, Explanation & Desmos Solution

Choice A

Choice A is incorrect. Since $3$ is a value of $x$ that satisfies the given equation, the equation has at least $1$ solution.

Choice C

Choice C is incorrect. Linear equations can have $0$ , $1$ , or infinitely many solutions; no linear equation has exactly $3$ solutions.

Choice D

Choice D is incorrect. If a linear equation has infinitely many solutions, it can be reduced to $0 = 0$ . This equation reduces to $x = 3$ , so there is only $1$ solution.

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question 550b352c: Linear Equations In One Variable answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong