Is (–3,–1) a solution to this system of equations?
4x–12y=–4
17x+2y=3
To determine if the point (-3,-1) is a solution to the system of equations 4x - 12y = -4 and 17x + 2y = 3, we can substitute the given values into each equation and see if both equations are satisfied.
For the first equation, when x = -3 and y = -1:
4(-3) - 12(-1) = -4
-12 + 12 = -4
0 = -4
Since 0 does not equal -4, the point (-3,-1) is not a solution to the first equation.
For the second equation, when x = -3 and y = -1:
17(-3) + 2(-1) = 3
-51 - 2 = 3
-53 = 3
Since -53 does not equal 3, the point (-3,-1) is not a solution to the second equation.
Therefore, the point (-3,-1) is not a solution to the system of equations 4x - 12y = -4 and 17x + 2y = 3.