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22 votes
22 votes
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

User Ian Hatch
by
3.2k points

2 Answers

18 votes
18 votes

Answer:

no solutions

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

User Gabriel Milan
by
2.9k points
19 votes
19 votes

Answer:

no solution

Explanation:

3x + 4y = 6

3x + 4y = 5

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

=> they will not intersect

=> no solution

User BishopZ
by
3.7k points