Given the system of linear questions x-y=5 4+y=10 part a: use substitution to find the solution to the systems of equations. include all of your work in your final answer. part b: algebraically verify your answer to part a. include all of your work in your final answer. part c: graphically verify your answer to part a. in your final answer, include the graph.

If:

x-y=5 
4x+y=10

Then the first equation can be re-written as x-5= y, and this can be subbed into the 2nd equation, eliminating y:

4x + (x-5) = 10.  Then 5x - 5 = 10, and 5x = 15.  Thus, x = 3.

Subbing 3 for x in the first equation:  3 - y = 5, or -2 = y

Then the solution is (3, -2).

Please note:  You typed "4+y=10."  I believe you meant to type "4x+y=10," and have worked on this problem accordingly.

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