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

Question

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

Explanation:

Step1: Set equations equal

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

Step2: Solve for x

Isolate x terms:
$2x + 2x = 15 - 3$
$4x = 12$
$x = \frac{12}{4} = 3$

Step3: Solve for y

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

Answer:

$x=3$, $y=9$