Question

Question 8 of 10

How many solutions does the system of equations below have?
y = 4x+2
y-2x = 4
OA. At least 1 solution
B. More than 1 solution
OC. No solution
OD. Exactly 1 solution

Answer 1

D. Exactly 1 solution

Explanation:

The system of equations has exactly one solution because when we solved the equations, we found a unique set of values for the variables x and y that satisfy both equations simultaneously.

In this case, we determined that x = 1 and y = 6 satisfy both equations:

For the equation y = 4x + 2, when we substitute x = 1, we get y = 4(1) + 2 = 6.

For the equation y - 2x = 4, when we substitute x = 1 and y = 6, we have 6 - 2(1) = 6 - 2 = 4.

Therefore, the values x = 1 and y = 6 make both equations true, and there are no other values of x and y that satisfy the system. Hence, the system of equations has exactly one solution.