Question

determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. x+y=5 2x-y=-3

Answer 1

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.

Answer 2

Answer:

Hi! The answer to your question is One Solution.

Step-by-step explanation:

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