Question

4 multiple choice 1 point
based on the equations for each line, determine how many solutions the system would have.
y = x + 2
y = x - 5
a) one solution b) no solution
c) infinite number of solutions
a
b
c
clear my selection

5 multiple choice 1 point
based on the equations for each line, determine how many solutions the system would have.
y = -3x + 2
-3x + 2 = y
a) infinite number of solutions b) one solution
c) no solution
a
b
c

Explanation:

Step1: Analyze slopes of lines (Q4)

The equations are $y=x+2$ and $y=x-5$. Both have slope $m=1$, different y-intercepts ($2$ and $-5$). Parallel lines with no intersection have no solution.

Step2: Compare equations (Q5)

The equations are $y=-3x+2$ and $-3x+2=y$. Rearranging the second gives $y=-3x+2$, identical to the first. Identical lines overlap, so infinite solutions.

Answer:

Q4: b) No Solution
Q5: a) Infinite Number of Solutions