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Zielflug [23.3K]
3 years ago
5

Here is a system of linear equations: y= x+4 y= -3x-8

Mathematics
1 answer:
ipn [44]3 years ago
5 0

Answer:

  • A) (-3,1)

Step-by-step explanation:

<u>Given system of linear equations: </u>

  • y= x+4
  • y= -3x-8

---

  • x + 4 = -3x - 8
  • x + 3x = - 8 - 4
  • 4x = -12
  • x = -3

Then

  • y =-3 + 4 = 1

Solution is (-3, 1)

Correct option is A

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What value of x make the equation 24-(3x - 9)-6= -2(4x - 10+ 5x + 7 true?
maksim [4K]

Answer:

x = 0

Step-by-step explanation:

24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7

solve the brackets by using the distribute property:

1(3x - 9) = 3x - 9

-2(2x - 10) = -8x + 20

rewrite the equation:

24 - 3x - 9 - 6 = -8x + 20 + 5x + 7

combine like therms:

27 - 3x = -3x + 27

subtract 27 from both sides:

27 - 3x - 27 = -3x + 27 - 27

- 3x = -3x

add x to both sides of the equation:

-3x + 3x = -3x + 3x

x = x or 0 = 0

to check, substitute 0 for x

24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7

anything times 0 is 0

24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7

solve:

24 + 9 - 6 = 0 + 20 + 0 + 7

27 = 27

7 0
3 years ago
What is the point-slope form of a line that has a slope of –4 and passes through point (–3, 1)?
dimaraw [331]

Answer:

y - 1 = - 4(x + 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 4 and (a, b) = (- 3, 1), hence

y - 1 = - 4(x - (- 3)), thus

y - 1 = - 4(x + 3) ← in point- slope form

8 0
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vodomira [7]

Answer:

I think option A is correct answer

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D,

Step-by-step explanation:

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If we deal with Natural numbers then the range is

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