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2 (4x - y = 1) 8(-5x + 2y = 4) 8x - 2y = 2 -40x + 16y = 32 \\overline{3…

Question

2 (4x - y = 1)
8(-5x + 2y = 4)

8x - 2y = 2
-40x + 16y = 32
\overline{3x + 0y = 6}

solve for x:
3x = 6
x = 2

plug in x = 2 into either equation and solve for y
4x - y = 1 or -5x + 2y = 4
y = try

Explanation:

Step1: Substitute $x=2$ into $4x-y=1$

$4(2) - y = 1$

Step2: Simplify the left-hand side

$8 - y = 1$

Step3: Isolate $-y$ by subtracting 8

$-y = 1 - 8$

Step4: Calculate and solve for $y$

$-y = -7 \implies y = 7$

Answer:

$y=7$