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serious [3.7K]
4 years ago
12

Five times one number minus two times a second number is 11. Three times the first number minus two times the second number is 1

. what are the numbers?
Mathematics
1 answer:
damaskus [11]4 years ago
8 0

Answer:

first number is 5

second number is 7

Step-by-step explanation:

let x and y represent the first and second number

5x - 2y = 11 ........ equation 1

3x - 2y = 11.......... equation 2

so by elimination, equation 1 minus equation 2

5x - 3x - 2y - 2y = 11 - 1

2x = 10

x = 5

therefore the first number is 5

put x = 5 into equation 1

5x - 2y = 11

5(5) - 2y = 11

25 - 2y = 11

-2y = 11 - 25

-2y = - 14

y = 7

therefore the second number is 7

hope it helps .

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Tom has twice as many marbles as luke together they have 39 marbles how many marbles does luke have?
Nookie1986 [14]

Answer:

Luke has 13 marbles

Step-by-step explanation:

t = number of marbles Tom has

l = number of marbles Luke has

t = 2l

t+l = 39

Substitute t = 2l into the second equation

2l + l = 39

Combine like terms

3l = 39

Divide by 3

3l /3 = 39/3

l = 13

Luke has 13 marbles

Tom has 2 * 13 = 26 marbles

4 0
4 years ago
Caitlyn reduced the size of a rectangle to a width of 3 in.
Whitepunk [10]

Answer:

h = 2

Step-by-step explanation:

you know the original rectangle [h = 10, w = 15]

1. The height of 15 inches turned to 3 inches by diving by 5

2. You have to do the same with the height too!

3. 10/5 = 2

The new height is 2 inches.

3 0
3 years ago
Suppose you had d dollars in your bank account. You spent $22 but have at least $42 left. How much money did you have initially?
german
1) What left

\boxed {d-22 \geq 42}

*Obs: remember that left at least 42 dollars. In other words, the left over is equal or more than 42 dollars.

2) At the beginning

 d-22 \geq 42 \\  \\ \boxed {d \geq 64}

Letter C
4 0
3 years ago
Find an ordered pair (x,y) that is a solution to the equation.<br> 6x-y=1
natita [175]
Answer:
(1, 3 )
Step-by-step explanation:
To find a solution to the equation.
Rearrange making y the subject by subtracting 6x from both sides
Given
6x + y = 9, then
y = 9 - 6x
Substitute any value of x into the equation and solve for y to obtain a solution
x = 1 → y = 9 - 6(1) = 9 - 6 = 3
Thus (1, 3) is a solution to the equation
3 0
3 years ago
Read 2 more answers
How many bricks 9.5 cm wide x 20 cm long are required to cover a patio 4 meters wide by 5 meters long?
Luden [163]
So you need to know the area of patio in cm, so you need to caculate area and than convert. 

4 x 5 = 20 m
20 m = 200000 cm

once you know area, you need to know the area of bricks.

9.5 x 20 = 190

Than divide patio area by brick area
200000 divide 190 = 1052 .63

since there cant be 1052.63 bricks, just round up to 1053.

so 1053 bricks are required for this patio.

Hope this helped!
5 0
3 years ago
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