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anyanavicka [17]
3 years ago
13

If a linear system has no solution what happens when you try to solve the system by adding or subtracting

Mathematics
1 answer:
fgiga [73]3 years ago
7 0
In the addition/subtraction method, the two equations in the system are added or subtracted to create a new equation with only one variable. In order for the new equation to have only one variable, the other variable must cancel out. In other words, we must first perform operations on each equation until one term has an equal and opposite coefficient as the corresponding term in the other equation.
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Uncle Jason is twice as old as his nephew Ralph, and 10 years ago he was three times as old as Ralph. Find their present ages.
cluponka [151]

Answer:

40 and 20

Step-by-step explanation:

  • Uncle Jason's age = x
  • Nephew Ralph age = y
<h3>Solution</h3>

<u>Age now:</u>

  • x= 2y

<u>Age 10 years ago: </u>

  • x- 10 = 3(y-10)

<u>Substituting x in the second equation:</u>

  • 2y - 10 = 3y - 30
  • 3y - 2y = 30 -10
  • y = 20

<u>Then, finding x:</u>

  • x= 2y
  • x= 2*20
  • x= 40

<u>Answer:</u> Uncle Jason is 40 and nephew Ralph is 20 years old

7 0
3 years ago
The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average d
Nezavi [6.7K]

Answer:

The average spent at his store is of $37.60.

The average spent at his competitor's store is of $48.53.

Step-by-step explanation:

Average of a data set:

The mean of a data set is the sum of all values divided by the number of values.

His store:

15 orders.

Prices of: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50

The average is:

M = \frac{41 + 38 + 19 + 30 + 21 + 53 + 34 + 34 + 37 + 29 + 50 + 43 + 57 + 28 + 50}{15} = 37.6

The average spent at his store is of $37.60.

Store of the competitor:

15 orders

Prices of: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69

The average is:

M = \frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15} = 48.53

The average spent at his competitor's store is of $48.53.

8 0
3 years ago
What is Index Law 3?<br> please give explanation
rodikova [14]

Answer:

hi hi hi hi hi

Step-by-step explanation:

plz follow me

6 0
3 years ago
Read 2 more answers
Tammy has a ten dollar bill. She purchases an unknown number of magazines for $3.00 each and gets $4.00 change back. Which equat
wel

Answer:

its A

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is 2/4 +1/3 equal to?
AlladinOne [14]

Answer:

3/7

Step-by-step explanation:

    2

    4

    1

    3

equals 3 over 7= 3/7

I hope this helps you

6 0
3 years ago
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