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6. \\( y = x + 8 \\)\\( 4x - 2y = -12 \\)

Question

  1. \\( y = x + 8 \\)\\( 4x - 2y = -12 \\)

Explanation:

Step1: Substitute $y=x+8$ into second equation

$4x - 2(x + 8) = -12$

Step2: Expand and simplify the equation

$4x - 2x - 16 = -12$
$2x - 16 = -12$

Step3: Solve for $x$

$2x = -12 + 16$
$2x = 4$
$x = \frac{4}{2} = 2$

Step4: Substitute $x=2$ into $y=x+8$

$y = 2 + 8 = 10$

Answer:

$x=2$, $y=10$