Question

Determine if the following system of equations haſ no solutions, infinitely many
solutions or exactly one solution.
3x + 4y = 6
-3x – 4y = -5
O No Solutions
One Solution
Submit Answer
Infinitely Many Solutions

Answer 1

Answer:

no solution

Step-by-step explanation:

3x + 4y = 6

3x + 4y = 5

=> slope is same but y-intercept will be different

=> they will not intersect

=> no solution

Answer 2

Answer:

no solutions

Step-by-step explanation:

3x + 4y = 6 → (1)

- 3x - 4y = - 5 → (2)

add the 2 equations term by term

0 + 0 = 1

0 = 1 ← false statement

This indicates the system has no solution