determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. x+y=5 2x-y=-

Question

3 years ago

14

3

2 answers:

max2010maxim [7] · Answer 1 · 2022-03-01T10:42:06+03:00

Answer:

(2/3, 13/3) (Exactly one solution)

Step-by-step explanation:

Write these equations in a column:

x+y=5

2x-y=-3

Note that we can eliminate y immediately by adding these two equations together. We get:

3x = 2, so that x = 2/3.

Substituting 2/3 for x in the first equation, we get:

2/3 + y = 5. Clear out fractions by multiplying all three terms by 3:

2 + 3y = 15, or 3y = 13. Then y = 13/3, and the solution is

(2/3, 13/3) There is exactly one solution.

Murljashka [212] · Answer 2 · 2022-03-01T12:27:20+03:00

Murljashka [212]3 years ago

4 0

Answer:

Hi! The answer to your question is One Solution.

Step-by-step explanation:

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