Answer:
No solution.
Step-by-step explanation:
So we have the system of equations:
[tex]x=5-2y\\4y=15-2x[/tex]
We can solve this by substitution. Substitute the first equation into the second. Thus:
[tex]4y=15-2(5-2y)[/tex]
Distribute the right:
[tex]4y=15-10+4y[/tex]
Subtract 4y from both sides:
[tex]0=15-10[/tex]
Subtract the right:
[tex]0=5[/tex]
As you can see, this statement is not true. In other words, the system of equations have no solution (likely because the lines are parallel).
And we're done!
