Question

y = 4x x + 2y = 18
solve the system using substitution. show all your work and write your answer as an ordered pair (x, y).
write your short answer response...

Explanation:

Step1: Identify given equations

The system is:
$y = 4x$
$x + 2y = 18$

Step2: Substitute $y=4x$ into second equation

Substitute $y$ to solve for $x$:
$x + 2(4x) = 18$

Step3: Simplify and solve for $x$

Combine like terms and isolate $x$:
$x + 8x = 18$
$9x = 18$
$x = \frac{18}{9} = 2$

Step4: Substitute $x=2$ into $y=4x$

Find the value of $y$:
$y = 4(2) = 8$

Answer:

$(2, 8)$