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, you need to substitute the values of x and y into each equation and check if the equations are satisfied.
1. Substituting the values of x = -4 and y = -12 into the first equation y = 6x + 12:
-12 = 6*(-4) + 12
-12 = -24 + 12
-12 = -12
Since the left side (-12) is equal to the right side (-12), the first equation is satisfied.
2. Substituting the values of x = -4 and y = -12 into the second equation 2x - y = 4:
2(-4) - (-12) = 4
-8 + 12 = 4
4 = 4
Again, the left side (4) is equal to the right side (4), meaning the second equation is also satisfied.
Since both equations are satisfied when x = -4 and y = -12, the ordered pair (-4,-12) is indeed a solution to the given system.
So the answer is YES.