Question

Please help quickly!!:)) Appreciate it x+y=6 y+4=x Choices: (11/2, 1/2) (5, 1) (21/2, 11/2) (1, 5)

Answer 1

B: (5,1)

Explanation:

So we have the system of equations:

`x+y=6\text{ and}\\y+4=x`

We can solve this system using substitution.

Substitute the second equation into the first. Use x. So:

`(y+4)+y=6`

Combine like terms:

`2y+4=6`

Subtract 4 from both sides:

`2y=2`

Divide both sides by 2:

`y=1`

So, the value of y is 1.

To find x, substitute this back into the second equation:

`y+4=x`

Substitute 1 for y:

`1+4=x`

Add:

`x=5`

Therefore, our answer is (5,1).

The answer is B.

And we're done!