Select the correct systems of equations.
Which systems of equations intersect at point A in this graph?
Graph shows a point plotted on a coordinate plane. Point A is plotted at (minus 2, 1).
To determine which systems of equations intersect at point A (-2, 1), we need to examine the equations of the lines passing through that point.
Let's consider a few options:
1. x + y = -1
2. 2x - y = 4
3. 3x + y = 7
4. x - 2y = 5
By substituting the coordinates of point A (-2, 1) into each equation, we can check if they are satisfied.
1. (-2) + 1 = -1 ⟹ -2 + 1 ≠ -1 (Not satisfied)
2. 2(-2) - 1 = 4 ⟹ -4 - 1 ≠ 4 (Not satisfied)
3. 3(-2) + 1 = 7 ⟹ -6 + 1 ≠ 7 (Not satisfied)
4. (-2) - 2(1) = 5 ⟹ -2 - 2 ≠ 5 (Not satisfied)
None of the given systems of equations intersect at point A in this graph.