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4. \\(-4x + y = 6\\)\\(y = 7x - 6\\)

Question

  1. \\(-4x + y = 6\\)\\(y = 7x - 6\\)

Explanation:

Step1: Substitute y into first equation

Substitute $y=7x-6$ into $-4x+y=6$:
$-4x + (7x - 6) = 6$

Step2: Simplify and solve for x

Combine like terms and isolate x:
$3x - 6 = 6$
$3x = 12$
$x = \frac{12}{3} = 4$

Step3: Substitute x to find y

Plug $x=4$ into $y=7x-6$:
$y = 7(4) - 6$
$y = 28 - 6 = 22$

Answer:

$x=4$, $y=22$