Answer:
(5,10)
Step-by-step explanation:
So we have the system of equations:
[tex]y=x+5\\3x+y=25[/tex]
To solve, we can use substitution.
Substitute the first equation into the second:
[tex]3x+y=25\\3x+(x+5)=25[/tex]
Combine like terms:
[tex]4x+5=25[/tex]
Subtract 5:
[tex]4x=20[/tex]
Divide by 4:
[tex]x=5[/tex]
Now, substitute this into the first equation:
[tex]y=x+5\\y=5+5[/tex]
Add:
[tex]y=10[/tex]
So, our answer is (5,10)
And we are done :)
