Question

Please help me, I don't understand literally any of this. # 1-6

Answer 1

1. y = x
y = 2x - 4

Locate the point of intersection of the 2 graphs. This is the solution set of the graphs, that is: (x, y) = (4, 4).

Solution set: (x, y) = (4, 4)

2. y = -$\frac{1}{2}$x + 5
y = 3x - 2

Locate the point of intersection of the 2 graphs. This is the solution set of the graphs, that is: (x, y) = (2, 4)

Solution set: (x, y) = (2, 4)

3. y - 2x = 4
y = 2x

Locate the point of intersection of the 2 graphs. The 2 lines are parallel so they do not intersect and therefore no solution set exists for the given set of equations.

Solution set: Does not exist.

4. y - 4x = 8
y = 2(2x +4)

Locate the point of intersection of the 2 graphs. The 2 lines are completely overlapping each other so they intersect intersect at infinite points and therefore infinite solutions exist for the given set of equations.

Solution set: Infinite solutions

5. x + y = 3
y = -3(2x - 1)

Locate the point of intersection of the 2 graphs. This is the solution set of the graphs, that is: (x, y) = (0, 3)

Solution set: (x, y) = (0, 3)

6. -x + y = -2
y = 2

Locate the point of intersection of the 2 graphs. This is the solution set of the graphs, that is: (x, y) = (4, 2)

Solution set: (x, y) = (4, 2)