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Evgesh-ka [11]
3 years ago
12

2.1x+0.6=17.4 ???? steps?

Mathematics
1 answer:
Alenkasestr [34]3 years ago
6 0

Answer: x=8


Step-by-step explanation:

1. Move constant to the right

2.1x+0.6=17.4

2. Subtract the numbers

2.1x=17.4-0.6

3. Divide both sides by 2.1

2.1x=16.8

x=8

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Lyle bought 3/8 pound of Red grapes and 5/12 pound of green grapes.. How many pounds of grapes did he buy?
olga2289 [7]

Answer:

he bought 19/24 pounds of grapes totoal

Step-by-step explanation:

3/8 +5/12 = 19/24

common denominator is 24 for both of them so multiple 3/8 by 3 and 19/24 by 2

6 0
2 years ago
2/x + 3/y = 13 ; 5/x - 4/y = -2​
Tomtit [17]

Given that

(2/x)+(3/y) = 13--------(1)

(5/x)-(4/y) = -2 -------(2)

Put 1/x = a and 1/y = b then

2a + 3b = 13 ----------(3)

On multiplying with 5 then

10a +15 b = 65 -------(4)

and

5a -4b= -2 ----------(5)

On multiplying with 2 then

10 a - 8b = -4 -------(6)

On Subtracting (6) from (4) then

10a + 15b = 65

10a - 8b = -4

(-)

_____________

0 + 23 b = 69

______________

⇛ 23b = 69

⇛ b = 69/23

⇛ b =3

On Substituting the value of b in (5)

5a -4b= -2

⇛ 5a -4(3) = -2

⇛ 5a -12 = -2

⇛ 5a = -2+12

⇛ 5a = 10

⇛ a = 10/5

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Now we have

a = 2

⇛1/x = 2

⇛ x = 1/2

and

b = 3

⇛1/y = 3

⇛ y = 1/3

<u>Answer :-</u>The solution for the given problem is (1/2,1/3)

<u>Check</u>: If x = 1/2 and y = 1/3 then

LHS = (2/x)+(3/y)

= 2/(1/2)+3/(1/3)

= (2×2)+(3×3)

= 4+9

= 13

= RHS

LHS=RHS is true

and

LHS=(5/x)-(4/y)

⇛ 5/(1/2)- 4/(1/3)

⇛(5×2)-(4×3)

⇛ 10-12

⇛ -2

⇛RHS

LHS = RHS is true

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Answer:

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Step-by-step explanation:

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