Question

reasoning solve the system of linear equations using substitution. use pencil and paper. which expression would be easier to substitute into the other equation, in order to solve this problem? explain your reasoning.
x = 3y - 8
x + 3y = 4
the solution is \square.
(simplify your answer. type an ordered pair.)
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Explanation:

Step1: Substitute x into second equation

Substitute $x=3y-8$ into $x+3y=4$:
$3y-8+3y=4$

Step2: Combine like terms and solve for y

Combine y terms, isolate y:
$6y-8=4$
$6y=12$
$y=\frac{12}{6}=2$

Step3: Substitute y back to find x

Plug $y=2$ into $x=3y-8$:
$x=3(2)-8=6-8=-2$

Answer:

$(-2, 2)$

Reasoning for substitution choice:

The expression $x=3y-8$ is easier to substitute because $x$ is already isolated on one side, so we can directly replace $x$ in the second equation without rearranging terms first.