Question

1. \\(y = 2x + 3\\)\\(y = -2x + 15\\)

Explanation:

Step1: Set equations equal

Since $y = 2x + 3$ and $y = -2x + 15$, substitute $y$:
$2x + 3 = -2x + 15$

Step2: Solve for $x$

Add $2x$ to both sides, subtract 3:
$2x + 2x = 15 - 3$
$4x = 12$
$x = \frac{12}{4} = 3$

Step3: Find $y$ with $x=3$

Substitute $x=3$ into $y=2x+3$:
$y = 2(3) + 3 = 6 + 3 = 9$

Answer:

$x=3$, $y=9$