Answer:
is not a solution to the system of equations.
Explanation:
Sure! Here's a step-by-step solution to determine if the point (-6, 3) is a solution to the system:
Substitute the x and y values into the first equation:
y = 1/2x + 6
3 = 1/2(-6) + 6
Simplify the right side of the equation:
3 = -3 + 6
Solve for the value of y:
3 = 3
The first equation is satisfied, so now let's substitute the x and y values into the second equation:
2y = -x - 3
2 * 3 = -(-6) - 3
6 = +6 - 3
Simplify the right side of the equation:
6 = -3
The second equation is not satisfied, so the point (-6, 3) is a not solution to the system.