233k views
3 votes
How many solutions does the system have?

- 2x - 4
y = 3x + 3
Choose 1 answer:
A
Exactly one solution
B
No solutions
С
Infinitely many solutions

User Ccrama
by
4.7k points

1 Answer

9 votes
Answer:
A:One Solution
Explanation:
First substitute the y in the first equation with the second equation to get
-2x-4=3x+3
since theres a variable of both sides, you subtract the variable with the least coefficient, in this case, you add 2x to both sides to get
-4=5x+3
subtract the constant on both sides to get
-1=5x
divide both sides by 5
x= -0.2 or -1/5
it's A, one solution
User Tyler Carter
by
3.8k points