1. How many solutions does the system of equations have?

4x=-12y+16 and x+3y=4
A. One
B. Two
C. Infinitely many
D. None

2. How many solutions does the system of equations have?
Y=5x+7 and 3y-15x=18
A. One
B. Two
C. Infinitely many
D. None

3. How many solutions does the system of equations have?
x-2y=6 and 3x-6y=18
A. One
B. Two
C. Infinitely many
D. None

4. How many solutions does the system of equations have?
y-7x=-14 and 7y-49x=-2
A. One
B. Two
C. Infinitely many
D. None

My answers are: A C D A

5 answers

#1
Note that
x+3y=4
can be rewritten as
4x=-12y+16
so both lines are the same, so C

#2 Y=5x+7
can be written as
3y-15x=21
So, the two lines are parallel: D

#3 x-2y=6
is
3x-6y=18
So, it's the same line: C

#4 y-7x=-14
is
7y-49x=-98
so, D

Looks like you need some further study on these.

I'm not good at these things. Usually I am a fast learner, but this year has been really hard. Thank you!

Yes, it has helped

y=
–
1
2
x+3
y=
–
1
2
x+5

Answers for test
A
B
A
D
C
B
A