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kompoz [17]
2 years ago
13

Solve using system of equations by using elimination method for -5x+4y=2 ; 9x-4y=6

Mathematics
1 answer:
jek_recluse [69]2 years ago
6 0

Answer:

y = 3

x = 2

Step-by-step explanation:

-5x + 4y = 2

9x - 4y = 6

Sum both eq.

-5x + 9x = 4x

+4y - 4y = 0

2 + 6 = 8

then:

4x + 0 = 8

4x = 8

x = 8/4

x = 2

from the first eq.

-5x + 4y = 2

-5*2 + 4y = 2

-10 + 4y = 2

4y = 2 + 10

4y = 12

y = 12/4

y = 3

Check:

from the second eq.

9x - 4y = 6

9*2 - 4*3 = 6

18 - 12 = 6

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How do I find the area ?
zalisa [80]

Answer:

7.74 cm^2

Step-by-step explanation:

The  length of the side of the square is 3+3 = 6

The area of the square is

A =s^2 = 6^2 = 36

The area of the circle is

A = pi r^2  where the radius is 3

(3.14) 3^2 =28.26

Subtract the area of the circle from the area of the square to get the shaded area

36-28.26 = 7.74 cm^2

5 0
3 years ago
Which is enough information to prove that line s is parallel to line t
Shtirlitz [24]

Answer:

line s and t would not meet even if you extend them and also they have the same slope and gradient

5 0
3 years ago
Answer...........................
Usimov [2.4K]

Answer:

9.9 years

Step-by-step explanation:

A = P e ^(rt)

Where A is the amount in the account

P is the amount invested

R is the interest rate

t is the time

P = 8500

r =7% = .07

A = 17000

Substituting into the equation

17000=8500 e^(.07t)

Divide each side by 8500

17000/8500=8500/8500 e^(.07t)

2 = e^(.07t)

Take the natural log of each side

ln (2) = ln e^(.07t)

ln(2) = .07t

Divide each side by .07

ln(2)/.07 = .07t/.07

ln(2)/.07 = t

9.902102579=t

Rounding to one decimal place

9.9 years

4 0
3 years ago
Read 2 more answers
In a school there are 1000 boys and 800 girls. Calculate the percentage of boys and girls
Arisa [49]

Answer:

55.55%= boys & 44.44% = girl

Step-by-step explanation:

1000/(1000+800)=1000/1800=.5555 or 55.55% are boys

800/(1000+800)=800/1800=.4444 or 44.44% are girls.

Therefore, 55,55% are boys and 44.44% are girls.

8 0
2 years ago
Juan earns 20% commission as a salesperson. He sold a trampoline that cost $86.40 How
andreev551 [17]

Answer:

$17.28

Step-by-step explanation:

20% of $86.40

= \frac{20}{100} × $86.40

= 0.2 × $86.40

= $17.28 ← commission

 

3 0
2 years ago
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