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NemiM [27]
1 year ago
7

one number added to three times another number is 24 five times the number added to three times the other number is 36 find the

numbers
Mathematics
1 answer:
Dmitriy789 [7]1 year ago
5 0

The required numbers for the given case are 3 and 7 respectively.

<h3>How to solve a linear equation?</h3>

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

As per the given data the problem can be solved as follows,

Suppose the first number be x and the second be y.

Now, the equations can be formed as,

x + 3y = 24             (1)

5x + 3y = 36           (2)

Solve these equations by multiplying equation (1) by 5 and then subtract from (2) as below,

5x + 3y - 5(x + 3y) = 36 - 5 × 24

3y - 15y = -84

=> -12y = -84

=> y = 7

Substitute y = 7 in equation (1) to get,

x + 3 × 7 = 24

=> x = 3

Hence, the numbers for the given problem are 3 and 7 respectively.

To know more about linear equation click on,

brainly.com/question/11897796

#SPJ1

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Help me I'm stuck!!!
Alchen [17]
Volume of the tank = length x width x height
Volume = 15.4 x 10 x 3 =  450 in³

Volume of one gallon = 231 in³

Then we need 450/231 gallons to fill the tank, that is 450/231 = 1.95 gallons
8 0
2 years ago
Which ordered pairs are in the solution set of the system of linear inequalities?
Nataly [62]

Answer:

C

Step-by-step explanation:

The solution to the system of the inequalities lies in the shaded region between the 2 lines.

The ordered pairs (5, - 2), (3, 1), (4, 2) lie within this region ⇒ C

8 0
3 years ago
Olivia goes to Egypt and saw a model of a triangle shaped pyramid. she enlarged it using a scale factor of 1.2. What will be the
tatuchka [14]
She enlarges by a scale factor of 1.2, so we can multiply this to all the measurements to find the sides of the enlarged triangle.

6 * 1.2 = 7.2
7 * 1.2 = 8.4
8 * 1.2 = 9.6

Now find the Area and Perimeter of the enlarged triangle.

A = 1/2bh

A = 1/2 * 9.6 * 8.4

A = 40.32

P = a + b + c

P = 7.2 + 7.2 + 9.6

P = 24
7 0
3 years ago
The length of each of the legs of an isosceles triangle is represented by the
lutik1710 [3]

Answer:

10 inches

Step-by-step explanation:

6x-2+6x-2+3x+1=42

12x-4+3x+1=42

15x-3=42

15x=45

x=3

Plug x=3 into 3x+1

3*3+1

9+1=10

Length of base is 10 inches

6 0
3 years ago
Ethan is 40 years old. His son is 12 years old. How many years ago was Ethan 5 times older than his son?
ella [17]
X=number of years that Ethas was 5 times older than his son.
we suggest this equation:

40-x=5(12-x)
40-x=60-5x
-x+5x=60-40
4x=20
x=20/4=5

answer. 5 years. 

8 0
3 years ago
Read 2 more answers
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