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3 years ago

Which of these expressions is equivalent to m^2 - n^2 - 14n - 49?

Mathematics

1 answer:

polet [3.4K]3 years ago

6 0

Answer:

n = m - 7 or n = -m - 7

Step-by-step explanation:

Solve for n:

m^2 - (n + 7)^2 = 0

The left hand side factors into a product with two terms:

(-7 + m - n) (7 + m + n) = 0

Split into two equations:

-7 + m - n = 0 or 7 + m + n = 0

Subtract m - 7 from both sides:

-n = 7 - m or 7 + m + n = 0

Multiply both sides by -1:

n = m - 7 or 7 + m + n = 0

Subtract m + 7 from both sides:

Answer: n = m - 7 or n = -m - 7

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3 years ago

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3 years ago

8х + 7y= -5 X= -3y - 7

GrogVix [38]

Answer:

x = 2

y = -3

Step-by-step explanation:

Step 1: Write systems of equation

8x + 7y = -5

x = -3y - 7

Step 2: Solve for y

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

Step 3: Solve for x

Substitute y to find x: x = -3(-3) - 7
Multiply: x = 9 - 7
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

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