Question

which ordered pair is the solution to this system of equations?
( y = x + 4 )
( x + y = 2 )
( (-1, 3) )
( (0, 2) )
( (1, 5) )
( (-4, 0) )

Explanation:

Step1: Substitute $y=x+4$ into second equation

$x + (x+4) = 2$

Step2: Simplify and solve for $x$

$2x + 4 = 2$
$2x = 2 - 4$
$2x = -2$
$x = \frac{-2}{2} = -1$

Step3: Find $y$ using $x=-1$

$y = -1 + 4 = 3$

Step4: Verify the solution

Substitute $(-1,3)$ into $x+y=2$: $-1 + 3 = 2$, which is true.

Answer:

A. (-1, 3)