Question

y = x + 2 2x + y = 14 solve the system using substitution. show all your work and write your answer as an ordered pair (x, y).

Explanation:

Step1: Substitute $y=x+2$ into the second equation

Substitute $y$ in $2x+y=14$:
$2x + (x+2) = 14$

Step2: Simplify and solve for $x$

Combine like terms and isolate $x$:
$3x + 2 = 14$
$3x = 14 - 2$
$3x = 12$
$x = \frac{12}{3} = 4$

Step3: Find $y$ using $x=4$

Substitute $x=4$ into $y=x+2$:
$y = 4 + 2 = 6$

Answer:

$(4, 6)$