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Vanyuwa [196]
3 years ago
8

3x-2y=1 -x+y=9 Solve by elimination

Mathematics
1 answer:
solong [7]3 years ago
5 0

Answer:

x=19 and y=28

Step-by-step explanation:

3x-2y=1

-x+y=9 which is x=y-9

Substitute the value of x=y-9 in the equation 3x-2y=1

3(y-9)-2y=1

3y-27-2y=1

y-27=1

y=27+1=28

Substitute the value of y=28 in the equation -x+y=9

-x+28=9

x=28-9=19

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Four spheres of radius 6cm just fit inside a cylinder. Calculate the volume inside the cylinder that is empty. Leave your answer
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Answer:how should I explain?

Step-by-step explanation:

5 0
3 years ago
7. Verify the following: i) (ab + bc) (ab – bc) + (bc + ca) (bc – ca) + (ca + ab) (ca – ab) = 0 ii) (a + b + c) (a² + b² + c² –
blsea [12.9K]

<u>1</u><u>.</u><u> </u><u>(ab + bc) (ab – bc) + (bc + ca) (bc – ca) + (ca + ab) (ca – ab) = 0</u>

We know that (a+b)(a-b) = a²-b²

(ab + bc)(ab -bc) can be written as a²b² - b²c²

(bc + ca)(bc -ca) can be written as b²c² - c²a²

(ca + ab)(ca - ab) can be written as c²a² - a²b²

→ a²b² - b²c² + b²c² - c²a² + c²a² - a²b²

→ a²b² - a²b² - b²c² + b²c² - c²a² + c²a²

→ 0

<u>2</u><u>.</u><u> </u><u>(a + b + c) (a² + b² + c² – ab – bc – ca) = a³ + b³+ c³ – 3abc</u>

→ a³ + ab² + ac² -a²b - abc -ca² + a²b + b³ + bc² - ab² - b²c - abc + a²c + b²c + c³ - abc - bc² - c²a

→ a³ + b³+ c³ + (- abc - abc - abc) + (ab² - ab² )+ (ac² - ca² ) -(a²b + a²b )+ (bc² - bc² )+ (a²c - c²a) + (b²c - b²c)

→ a³+b³+c³ - 3 abc .

<u>3</u><u>.</u><u> </u><u>(p – q) (p² + pq + q²) = p³ – q³. </u>

→ p³ + p²q + pq² - p²q - pq² - q³

→ p³ - q³ +(p²q - p²q) + (pq² - pq²)

→ p³ - q³

7 0
4 years ago
3/12 is equivalent to 1/4 true/false​
Debora [2.8K]

Answer:

true

Step-by-step explanation:

3/12 can be made into 1/4. 3/3=1 and 12/3=4. 1/4 is correct.

6 0
3 years ago
Read 2 more answers
I have to solve this proportion x+2/4=8/4
Eva8 [605]

Answer:


Step-by-step explanation:

Isolate the x. Note the equal sign, what you do to one side, you do to the other.

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Simplify

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Simplify. Change the improper fraction into mixed fraction

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5 0
3 years ago
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Fine the x and y int of the line -10x-6y=120
vlabodo [156]
Y int = -20

X int = -12
5 0
3 years ago
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