Question

Is the point (0,2) the solution to the system of equations: SHOW ALL YOUR WORK.

2x - y = -2
2x + 4y = 8
A. Yes
B. No

Answer 1

The point (0,2) satisfies both equations in the system after substituting the values into each equation, thus it is a solution to the system.

Step-by-step explanation:

To determine whether the point (0,2) is a solution to the system of equations, let's substitute the values of x and y from the point into each equation and check for equality.

For the first equation 2x - y = -2, substituting x = 0 and y = 2 gives:

• 2(0) - 2 = -2
• 0 - 2 = -2
• -2 = -2, which is true.

For the second equation 2x + 4y = 8, substituting x = 0 and y = 2 gives:

• 2(0) + 4(2) = 8
• 0 + 8 = 8
• 8 = 8, which is also true.

Since the point (0,2) satisfies both equations, it is a solution to the system. Therefore, the answer is Yes, the point (0,2) is a solution to the system of equations.