Question

At which point do the graphs of the following equations intersect each other?
2x−y+4=0
x+y=-5
(1,1)
(-3,-2)
(2,-1)
(4,-5)

Answer 1

To find where the graphs intersect, we need to find a point that satisfies both equations. One way to do this is to solve for one variable in one equation and substitute it into the other equation:

From the second equation, we can solve for y:
y = -x - 5

Substituting this into the first equation:
2x - (-x-5) + 4 = 0
2x + x + 1 = 0
3x = -1
x = -1/3

Substituting x = -1/3 into the equation y = -x - 5:
y = -(-1/3) - 5 = -14/3

So the graphs intersect at the point (-1/3, -14/3). None of the given points match this, so it is not one of the answer choices.