Question

1. Which description best describes the solution to the following system of equations?

y = –x + 4
y = 3x + 3 (4 points)


Line y = –x + 4 intersects the line y = 3x + 3.
Lines y = –x + 4 and y = 3x + 3 intersect the x-axis.
Lines y = –x + 4 and y = 3x + 3 intersect the y-axis.
Line y = –x + 4 intersects the origin.

2.
A pair of equations is shown below.

x + y = 5
y = 1/2(one half) x + 2

If the two equations are graphed, at what point do the lines representing the two equations intersect? (4 points)


(2, 5)
(5, 2)
(2, 3)
(3, 2)

3. attachment 1

Answer 1

question 3

Answer: D infinity many solutions

Explanation:

when two lines overlap each other their values are the same therefore their always correct, so the answer is infinity many solutions

Answer 2

1. The best answer is A since a solution is where 2 lines intersect. Whether or not they intersect the x or y axis is completely irrelevant (so is whether they intersect the origin).

2. y=-x+5
-x+5=1/2x+2
-x+3=1/2x
3=3/2x
2=x

y=-(2)+5
y=3

Answer: (2,3)

3. It seems like the lines are completely on top of each other (coinciding) so there are infinitely many solutions.