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2 years ago

What is the solution to this system of equations?

Mathematics

1 answer:

maksim [4K]2 years ago

8 0

Answer:x=3 y=1/2

Step-by-step explanation:

x+2y=4

2x-2y=5

Add both equations together

x+2x+2y-2y=4+5

3x+0=9

3x=9

Divide both sides by 3

3x/3=9/3

x=3

Substitute x=3 in x+2y=4

x+2y=4

3+2y=4

Collect like terms

2y=4-3

2y=1

Divide both sides by 2

2y/2=1/2

y=1/2

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The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?

givi [52]

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3 years ago

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5h+4+52+64=180 what does that equal to

Softa [21]

Answer:

x=12

Step-by-step explanation:

5x+4+64+52=180

We move all terms to the left:

5x+4+64+52-(180)=0

We add all the numbers together, and all the variables

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3 years ago

What is 14.62 to the nearest whole number

alexandr1967 [171]

Because the decimal is over 40 the answer is 15

6 0

3 years ago

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notsponge [240]

Answer:

15) a) 8

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c) y - 1

16) True

17) 2n - 1, where n is an integer

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3 years ago

In an arithmetic sequence, if a2= 5 and a10= 19 find a6

OLEGan [10]

Answer:

a₆ = 12

Step-by-step explanation:

The nth term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = 5 and a₁₀ = 19 , then

a₁ + d = 5 → (1)

a₁ + 9d = 19 → (2)

Subtract (1) from (2) term by term to eliminate a₁

8d = 14 ( divide both sides by 8 )

d = 1.75

Substitute d = 1.75 into (1)

a₁ + 1.75 = 5 ( subtract 1.75 from both sides )

a₁ = 3.25

Then

a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12

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2 years ago