Question

How many solutions does the system have?

y=3x+3
y=−2x+3
​choose 1 answer
A) Exactly one solution
B) No solutions
C) Infinitely many solutions

Answer 1

The answer is A ............................

Answer 2

A

Explanation:

Given the 2 equations

y = 3x + 3 → (1)

y = - 2x + 3 → (2)

Substitute y = 3x + 3 into (2)

3x + 3 = - 2x + 3 ( add 2x to both sides )

5x + 3 = 3 ( subtract 3 from both sides )

5x = 0 , then

x = 0

Substitute x = 0 into (1)

y = 3(0) + 3 = 0 + 3 = 3

solution is (0, 3 ) → A