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NARA [144]
3 years ago
15

The linear combination method is applied to a system of equations as shown.

Mathematics
1 answer:
Kay [80]3 years ago
4 0

Answer:

hi

Step-by-step explanation:

Option 4th is correct

The solution of the system of equations is, (9, 3)

Step-by-step explanation:

Given the system of equations:

⇒                .....[1]

           

⇒                 .....[2]

Add equation [1] and [2] we have;

Divide both sides by 2 we have;

Substitute x = 9 in [1] we have;

Subtract 9 from both sides we have;

2y = 6

Divide both sides by 2, we have;

y = 3

Therefore, the solution of the system of equations is, (9, 3)

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3 years ago
Kim and Daniel are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of
ivanzaharov [21]

There are two equation:

1) From Kim

2) From Daniel


Let:

x be the cost of rolls of plain wrapping paper

y be the cost of rolls of shiny wrapping paper


Kim:

7x + 8y = 140

Daniel:

14x + 7y = 154


<u>Using elimination method:</u>

(7x + 8y = 140) * -2  (Multiplying the equation by -2)

-14x - 16y = -280


-14x  -16y = -280

14x + 7y = 154

------------------------------

0x - 9y = -126

9y = 126 (Negative sign cancels from both sides)

y = 126 /9

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Solution: (4,14)

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