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3 years ago

solve system by substitution method 3x+2y-z=23, y=8, -2y+4z=16 showing step by step this is algebra 2

1 answer:

4 0

X=5
Y=8
Z=8

3x+2y-z=23 --> z=-23+2y+3x
Y=8
Substitute for -2y+4z=16

-2(8)+4(-23+2(8)+3x)=16
-16-28+12x=16
-44+12x=16
12x=60
X=5

Substitute known y and x values into z=-23+2y+3x

Z=-23+2(8)+3(5)
Z=-23+16+15
Z=8

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Which expression uses the distributive property to represent the sum of 39 + 27

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The expression that uses the distributive property to represent the sum of 39 + 27 is $3(13 + 9)$

Step-by-step explanation:

Given

Expression: 39 + 27

Required

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The distributive property is represented in the form a(b + c)

So, we can say that the meaning to the question is that the given expression should be represented in the form a(b+c)

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Pleasee helppp insert two arithnetic means between -5 and 1

Salsk061 [2.6K]

Answer:

a₂ = -3

a₃ = -1

Step-by-step explanation:

We have to insert two arithmetic means between -5 and 1

Let a₁ and b₂ be the two arithmetic means between -5 and 1

-5, a₂, a₃, 1

Here,

a₄ = 1

a₁ = -5

We know that the nth term of an Arithmetic sequence

aₙ = a₁ + (n-1)d

a₄ = -5 + (4-1)d

1 = -5 + 3d

1 + 5 = 3d

3d = 6

Dividing both sides by 2

d = 2

Also

a₂ = a₁ + (2-1)d

a₂ = -5 + d

a₂ = -5 + 2 ∵ d = 2

a₂ = -3

a₃ = a₁ + (3-1)d

a₃ = -5 + 2d

a₃ = -5 + 2(2) ∵ d = 2

a₃ = -5 + 4

a₃ = -1

Thus,

a₂ = -3

a₃ = -1

Thus, the sequence becomes:

-5, -3, -3, 1

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3 years ago