Answer:
B: (5,1)
Step-by-step explanation:
So we have the system of equations:
[tex]x+y=6\text{ and}\\y+4=x[/tex]
We can solve this system using substitution.
Substitute the second equation into the first. Use x. So:
[tex](y+4)+y=6[/tex]
Combine like terms:
[tex]2y+4=6[/tex]
Subtract 4 from both sides:
[tex]2y=2[/tex]
Divide both sides by 2:
[tex]y=1[/tex]
So, the value of y is 1.
To find x, substitute this back into the second equation:
[tex]y+4=x[/tex]
Substitute 1 for y:
[tex]1+4=x[/tex]
Add:
[tex]x=5[/tex]
Therefore, our answer is (5,1).
The answer is B.
And we're done!
