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What is the solution to this system of equations?

t + w = 15
2t = 40 − 2w




a.The system has no solution.




b.The system has infinite solutions.




c.The system has a single solution: t = 5, w = 10.




d.The system has a single solution: t = 10, w = 5.




e.The system has a single solution: t = 7.5, w = 7.5.

Answer :

texaschic101
2t = 40 - 2w
t = 40/2 (-2/2)w
t = 20 - w -- rearrange
t = -w + 20

t + w = 15
t = -w + 15

same slope, different y intercepts.....parallel lines, no solutions

aubreysmiranda31

Answer:

Try to solve the system using the elimination method.

Rewrite the second equation.

        2t = 40 − 2w

2t + 2w = 40

Multiply the first equation by -2.

    t + w = 15

-2t − 2w = -30

Add the two modified equations.

    2t + 2w = 40

+  -2t − 2w = -30

              0 = 10

The resulting equation is not true. So, this system has no solution.

Step-by-step explanation:

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