Answered

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Graph each system and determine the number of solutions that it has. If there is no solution, type NS. Ifit has a solution, state it. When entering solutions, enter them as a coordinate pair. Do not includespaces in answers.3x +y = -33x +y = 3Number of Solutions:Solution:

Sagot :

we have the system

3x +y = -3

3x +y = 3

In this problem we have two different parallel lines

Remember that the solution of the system is the intersection point both lines

In this problem the lines don't intersect (are parallel)

therefore

the system has no solution NS

isolate the variable y in the first equation

y=-3x-3 -----> equation 1

isolate the variable y in the second equation

y=-3x+3 -----> equation 2

Solve the system of equations

equate equation 1 and equation 2

-3x-3=-3x+3

solve for x

-3x+3x=3+3

0=6 ------> is not true

that means

the system has no solution (NS)

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