is each ordered pair a solution of the given system? write yes or no.
y=6x+12
2x-y=4
(-4,-12)
To determine if the ordered pair (-4, -12) is a solution to the given system of equations, we need to substitute the values of x and y from the ordered pair into both equations and see if they satisfy the equations.
For the first equation, y = 6x + 12, we'll substitute x = -4 and y = -12:
-12 = 6(-4) + 12
-12 = -24 + 12
-12 = -12
The equation holds true, which means that (-4, -12) satisfies the first equation.
For the second equation, 2x - y = 4, we'll substitute x = -4 and y = -12:
2(-4) - (-12) = 4
-8 + 12 = 4
4 = 4
Again, the equation holds true, which means that (-4, -12) also satisfies the second equation.
Since the ordered pair (-4, -12) satisfies both equations, the answer is yes, it is a solution to the given system.