Solve each equation for \( y \).

1. \(-6x + y = 11\)

2. \(8x + 2y = 10\)

3. \(6x - 3y = -9\)

4. \(-4x + 2y = 16\)

5. \(10x - 5y = 25\)

6. \(3x + 2y = -8\)

( 4 ) − 6 x + y = 11 ⇒ y = 6 x + 11 ( 5 ) 8 x + 2 y = 10 ⇒ 2 y = − 8 x + 10 ⇒ y = − 4 x + 5 ( 6 ) 6 x − 3 y = − 9 ⇒ − 3 y = − 6 x − 9 ⇒ y = 2 x + 3 ( 7 ) − 4 x + 2 y = 16 ⇒ 2 y = 4 x + 16 ⇒ y = 2 x + 8 ( 8 ) 10 x − 5 y = 25 ⇒ − 5 y = − 10 x + 25 ⇒ y = 2 x − 5 ( 9 ) 3 x + 2 y = − 8 ⇒ 2 y = − 3 x − 8 ⇒ y = − 1.5 x − 4

Answered by kate200468 | 2024-06-10

The equations were solved for y as follows: y = 6 x + 11 , y = − 4 x + 5 , y = 2 x + 3 , y = 2 x + 8 , y = 2 x − 5 , and y = − 1.5 x − 4 . Each equation was manipulated to isolate y on one side. The results represent linear equations in slope-intercept form.
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Answered by kate200468 | 2024-10-31