Question

4) Determine if the coordinate represents a solution for the system of equations. Show your work in order to justify your answer. (0,4) -6x + 3y = 12 2x + y = 4​

Answer 1

To determine if the coordinate (0, 4) is a solution for the system of equations -6x + 3y = 12 and 2x + y = 4, we need to substitute x = 0 and y = 4 into both equations and check if they are satisfied.

-6(0) + 3(4) = 12

12 = 12

second equation

2(0) + 4 = 4

4 = 4

Since this is also a true statement, the point (0, 4) satisfies the second equation.

Therefore, the point (0, 4) is a solution for the system of equations.