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Rudik [331]
2 years ago
12

the sum of two numbers is 45. the greater number is 9 more than the other number. Find each number. use a system of linear equat

ions to justify your answer
Mathematics
2 answers:
Andre45 [30]2 years ago
8 0

Solution:

Let x and y be the numbers that sum up to 45.

<u>Note that:</u>

  • x + y = 45
  • y + 9 = x

<u>Simplify the second equation such that the constant is the subject.</u>

  • y + 9 = x
  • => -x + y = -9

<u>Use system of equations to solve for both variables.</u>

  • x + y = 45

       -x + y = -9

  • => 2y = 36
  • => y = 18

<u>Substitute the value of y into the second equation to find x.</u>

  • y + 9 = x
  • => 18 + 9 = x
  • => 27 = x

The value of x and y is 27 and 18 respectively.

SpyIntel [72]2 years ago
5 0

Answer:

18 and 27

Step-by-step explanation:

Let x = first (smaller) number

Let y = second (larger) number

Sum of two numbers is 45:

⇒ x + y = 45

The greater number is 9 more than the other number:

⇒ y = x + 9

Substitute  y = x + 9  into  x + y = 45  and solve for x:

⇒ x + (x + 9) = 45

⇒ 2x + 9 = 45

⇒ 2x = 36

⇒ x = 18

Substitute found value for x into  y = x + 9  and solve for y:

⇒ y = 18 + 9

⇒ y = 27

Therefore, the two numbers are 18 and 27

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If x+y=580 and x=3y then what are x and y?
sergejj [24]

Answer:

x=435 ,y=145

Step-by-step explanation:

You substitute x for 3y in this equation and get

3y+y=580

from here you simplify

4y=580

and divide 580 by 4 to get what y is

y=580/4

y=145

now since x=3y you mutiply y by 3

x=3(y)

x=3(145)

x=435

7 0
3 years ago
Read 2 more answers
What is the result when the sun 4x^2+8x-1 and 7x^2-3x+8 is multiplied by 5x^2?
Agata [3.3K]

Answer:

55x^4+25x^3+35x^2

Step-by-step explanation:

5x²(4x^2+8x-1 and 7x^2-3x+8)

Applying distribution property,we have

  • 5x^2(4x^2+8x-1 + 7x^2-3x+8)
  • (5x^2)*(4x^2)+(5x^2)*(8x)+(5x^2)*(-1)+(5x^2)(7x^2)+(5x^2)*(-3x)+(5x^2)*(8)

Simplifying them,we have

  • 20x^4+40x^3−5x^2+35x4−15x^3+40x^2
  • 55x^4+25x^3+35x^2
5 0
2 years ago
7x-6y=9<br> 5x+2y=19 Solve the system using elimination.
ikadub [295]

Step-by-step explanation:

multiply 5x+2y=19 by 3 youll get 15x+6y=57

eliminate y

7x-6y=9

<u>15x+6y=57</u><u> </u> +

22x=66

x=3

substitute x to 5x+2y=19

15+2y=19

2y=4

y=2

4 0
3 years ago
Solve for y.<br> 8+4y= -8
Andrew [12]

Answer:

-4

Step-by-step explanation:

8+4y= -8

4y= -8 -8

4y= -16

divide both sides by the coeffient of the variable. in this case divide both sides by 4

y=-4

7 0
3 years ago
Read 2 more answers
PLEASE LET ME KNOW (The answer ; explain if u want to)
Mrac [35]

Answer:

It takes 500 seconds for sunlight to reach Earth.

The mass of the sun is 18.98 * 10^28.

Step-by-step explanation:

Step 1) In order to solve problem number one, you would need to divide. Remember, in math in order to get from the smaller unit to the bigger unit, you divide.

Step 2) In this case, the smaller unit is the distance from the sun to earth. The bigger unit in the other hand, is the speed of light.

Step 3) 1.5 * 10^11/300,000,000 = 500

Answer: It takes 500 seconds for sunlight to reach Earth.

—

Step 1) In order to solve problem number 2, convert 26,000,000 in scientific notation which is 2.6 * 10^7.

Step 2) Now, multiply the mass of the sun by the mass of the moon.

(7.3*10^22) * (2.6 * 10^7)

Step 3) Note: whenver you multiply with exponents, you must always add them, the base remains the same.

10^22 + 10^7 = 10^29

7.3 * 2.6 = 18.98

Answer: To conclude, the mass of the sun is 18.98 * 10^28.

8 0
3 years ago
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