1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
2. State the domain for the following ordered pairs: { (4, -2), (6, -7), (4, 3), (-8, 1), (-3, 5) } *
Fofino [41]

Answer:

(4,6,4,-8,-3)

Step-by-step explanation:

Domain means of function is the set of all possible inputs for function

4 0
3 years ago
11. A dog is 9.5 meters from the base of a tree. It looks up at an angle of 40° and spots
ASHA 777 [7]

Answer: 10.0 I'm sure

4 0
3 years ago
If g(r) =2(r-1), Find g(10)
garri49 [273]

Answer:

g(r) = 18

Step-by-step explanation:

Substitute 10 into r

g(10) = 2( (10) -1)

        = 2(9)

        = 18

7 0
3 years ago
Find the coordinates of the midpoint of a segment with the endpoints<br> (16,5) &amp; (28, -13)
BARSIC [14]
To determine the coordinates of the midpoints of a line segment, get the average of the both the abscissas and ordinates. In this example, the average of the abscissas is 22 and that of the ordinates is -4. Thus, the midpoint is (22, -4).
6 0
3 years ago
4b+4&lt;4(5-3b) how do u break this down to get the right answer​
hodyreva [135]

4b+4<20-12b

16b<16

b<1 olur.

<u><em>İYİ DERSLER!</em></u>

6 0
3 years ago
Read 2 more answers
Other questions:
  • Calculate the total installment price the carrying charges in the number of months needed to save them money at the monthly rate
    11·1 answer
  • Hey please help me if you can I would appreciate it
    12·2 answers
  • Help
    8·1 answer
  • Please help on this one?
    9·1 answer
  • What is the sale price of a shirt that was originally $25 but that has been marked down by 33 percent?
    12·2 answers
  • What’s the answer please I need help.
    5·1 answer
  • (a^2-b)^3
    12·1 answer
  • Divide 4a³ - 14a² + 6a by a - 3​
    15·1 answer
  • Solve -4x – 8y = -48<br> 8x + 3y = -34.
    15·1 answer
  • An angle measures 62.4° more than the measure of its supplementary angle. What is the measure of each angle?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!