Question

Show work to find the solution for the system:
x = 2y
3x - 6y = 10

Answer 1

There is no solution to this problem. When you substitute 2y in for x in the equation 3x-6y=10, you will get 3(2y)-6y=10. When you multiply 3(2y), you get 6y. 6y-6y equals 0. 0 cannot equal 10.

Answer 2

Answer: No solutions

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Work Shown:

3x-6y = 10

3(2y)-6y = 10 ... plug in x = 2y

6y-6y = 10

0 = 10

We get a false statement at the end.

This means the system is inconsistent with no solutions.

Graphing each equation produces two parallel lines that never intersect.