Question

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

Explanation:

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

$x + (x + 4) = 2$

Step2: Simplify and solve for $x$

$2x + 4 = 2 \implies 2x = -2 \implies x = -1$

Step3: Substitute $x=-1$ into $y=x+4$

$y = -1 + 4 = 3$

Step4: Verify the solution

$-1 + 3 = 2$, which matches $x+y=2$

Answer:

$(-1, 3)$