Question

$y = 2x$
$y = 6 - 2x$

$x$: 0, 1, 2, 3
$y = 2x$: 0, 2, 4, 6

$x$: 0, 1, 2, 3
$y = 6 - 2x$: 6, 4, 2, 0

kenneth says the system has no solution. do you agree?
yes no maybe

Explanation:

Step1: Set equations equal

Since $y=2x$ and $y=6-2x$, set $2x = 6-2x$.

Step2: Solve for x

Add $2x$ to both sides: $4x = 6$, then $x=\frac{6}{4}=\frac{3}{2}$.

Step3: Find y value

Substitute $x=\frac{3}{2}$ into $y=2x$: $y=2\times\frac{3}{2}=3$.

Step4: Verify solution

Check $y=6-2x$: $6-2\times\frac{3}{2}=6-3=3$, which matches.

Answer:

no