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

(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.

Hi! The answer to your question is One Solution.

Step-by-step explanation:

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- Brooklynn Deka

the answer to the question is a  

it has the same slope and the same y-intercept.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.