Answer:
C. 3x + y = 4
Step-by-step explanation:
For a system of equations to have no solutions implies that the graphs of these equations do not intersect
The equation 3x + y = - 2 is the equation of a straight line
In slope-intercept form we can re-write this as:
y = - 3x -2 (subtract 3x from both sides)
The slope of this line is - 3
For another straight line not to intersect, it must have the same slope and a different intersect
So its equation will be of the form
y = - 3x + c where c is some constant
Adding 3x to both sides gives us
3x + y = c
The only equation that has 3x as a term is
C. 3x + y = 4
i am not sure if that second = sign is a negative sign. Either way the answer is C
