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4 votes
8х + 7y= -5
X= -3y - 7

2 Answers

1 vote

Answer:

x=2 y=-3

Explanation:

User Tawny
by
3.8k points
2 votes

Answer:

x = 2

y = -3

Explanation:

Step 1: Write systems of equation

8x + 7y = -5

x = -3y - 7

Step 2: Solve for y

  1. Substitute 2nd equation into 1st: 8(-3y - 7) + 7y = -5
  2. Distribute 8: -24y - 56 + 7y = -5
  3. Combine like terms: -17y - 56 = -5
  4. Add 56 to both sides: -17y = 51
  5. Divide both sides by -17: y = -3

Step 3: Solve for x

  1. Substitute y to find x: x = -3(-3) - 7
  2. Multiply: x = 9 - 7
  3. Subtract: x = 2

Step 4: Check

Plug in x, y into an original equation to verify it's a solution.

2 = -3(-3) - 7

2 = 9 - 7

2 = 2

User Thatseeyou
by
3.9k points