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Nesterboy [21]
3 years ago
8

How would you solve the equation -3x-4y=2 with x+2y=-2 using the systems of substitution

Mathematics
1 answer:
Ludmilka [50]3 years ago
5 0

Answer:

(2, - 2 )

Step-by-step explanation:

Given the 2 equations

- 3x - 4y = 2 → (1)

x + 2y = - 2 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = - 2 - 2y → (3)

Substitute x = - 2 - 2y into (1)

- 3(- 2 - 2y) - 4y = 2 ← distribute parenthesis and simplify left side

6 + 6y - 4y = 2

2y + 6 = 2 ( subtract 6 from both sides )

2y = - 4 ( divide both sides by 2 )

y = - 2

Substitute y = - 2 into (3) for corresponding value of x

x = - 2 - 2(- 2) = - 2 + 4 = 2

solution is (2, - 2 )

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Three different ways to put 6(3x + 8) + 32 + 12x
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Answer:

<em>Writing 6(3x + 8) + 32 + 12x in 3 different ways:</em>

  • w₁ = 18x + 48 + 32 + 12x      

∵ 6(3x + 8) = 18x +48 as distribute law suggests that  a(b + c) = ab + ac

  • w₂ = 18x + 80 + 12x              ∵ 48 + 32 = 80
  • w₂ = 30x + 80                        ∵ 18x + 12x = 30x

Step-by-step explanation:

As the expression is 6(3x + 8) + 32 + 12x, and we have to write it in three different ways. Using the properties of operations we can write it in three different ways,

Let way one be denoted as w₁

Let way two be denoted as w₂

Let way three be denoted as w₃

So, lets write 6(3x + 8) + 32 + 12x in 3 different ways:

  • w₁ = 18x + 48 + 32 + 12x      

∵ 6(3x + 8) = 18x +48 as distribute law suggests that  a(b + c) = ab + ac

  • w₂ = 18x + 80 + 12x              ∵ 48 + 32 = 80
  • w₂ = 30x + 80                        ∵ 18x + 12x = 30x

<em>Keywords: operation properties, distributive law</em>

<em>Learn more about operation properties from brainly.com/question/13754344</em>

<em>#learnwithBrainly</em>

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