How many solutions does the system of equations have?

y=6x+2 and 3y-18x=12
one
two
infinitely many
none

How many solutions does the system of equations have?
x-3y=15 and 3x-9y=45
one
two
infinitely many
none

How many solutions does the system of equations have?
y-5x=-6 and 3y-15x= -12
one
two
infinitely many
none

please help 3 days until the semester is over. please help me

6 answers

What do you think?
i can't think of anything when i have 3 days left and 2 exams left
1. Eq1: Y = 6x + 2.
Eq2: - 18x + 3y = 12.
m1 = 6.
m2 = -A/B = 18/3 = 6.
The Eqs have equal slopes and are, therefore, parallel and do not intersect:
No solution.

2. Same procedure as #1.

3. Standard Form: -5x + y = -6, and -15x + 3y = -12.
Same procedure as #1.
2. Multiply the 1st Eq by 3 and you'll notice that the Eqs are identical and have infinite solutions.
Bro i have 3 days and all my exams left 😭😭😭
Thx for the help and good luck on exams
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