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Ede4ka [16]
3 years ago
11

.−3(4x + 3) + 4(6x + 1) = 43 What is the solution?

Mathematics
1 answer:
maks197457 [2]3 years ago
6 0

Answer:

  x = 4

Step-by-step explanation:

After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.

  -3(4x +3) +4(6x +1) = 43 . . . . . . given

  -12x -9 +24x +4 = 43 . . . . . eliminate parentheses

  12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)

  12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant

  x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x

The solution is x = 4.

__

<em>Check</em>

  -3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x

  -3(16 +3) +4(24 +1) = 43

  -3(19) +4(25) = 43

  -57 +100 = 43 . . . . . true

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(3.07A MC)
Nadusha1986 [10]

Answer:

  • (3, 4) is the solution to both lines A and B.

Step-by-step explanation:

<u>Given</u>

  • Line A with points (2, 6) and (5, 0)
  • Line B with points (0, 2) and (6, 6)

<u>Lets get the equations for both lines</u>

Line A

  • y = mx + b
  • m = (0 - 6)/( 5 - 2) = -2
  • 6 = 2*(-2) + b ⇒ b = 6+ 4 = 10
  • y = - 2x + 10

Line B

  • m = (6 - 2)/( 6 - 0) = 4/6 = 2/3
  • b = 2 as per point (0, 2)
  • y = 2/3x + 2

<u>We got two equations:</u>

  • y = -2x + 10
  • y = 2/3x + 2

<u>Solving the system:</u>

  • -2x + 10 = 2/3x + 2
  • 8/3x = 8
  • x = 3 ⇒ y = 4
  • (3, 4)

<u>Verifying answer options</u>

  • (3, 4) is the solution to both lines A and B. YES
  • (3, 4) is the solution to line A but not to line B.  NO
  • (0, 2) is the solution to both lines A and B.  NO
  • (0, 2) is the solution to line A but not to line B. NO
7 0
3 years ago
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