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3 years ago

I’m supposed to solve this by eliminating the x variable

Mathematics

1 answer:

liberstina [14]3 years ago

3 0

Answer:

the answer is (-4, 5)

Step-by-step explanation:

Let's use elimination by addition / subtraction:

-6x - 2y = 14

6x + 7y = 11

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

5y = 25, so y = 5.

Substituting 5 for y in the 2nd equation, we get:

6x + 7(5) = 11, or:

6x + 35 = 11, or

6x = -24, or x = -4.

Thus, the answer is (-4, 5). Please double check to ensure you have copied down both system of equations and answer correctly.

Check: Is (-4, 5) a solution to this system?

Subst. -4 for x and 5 for y in the first equation:

-3(-4) - (5) = 7

12 - 5 = 7 YES

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A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part. How long is e

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Answer:

Long part= 45

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Step-by-step explanation:

Let the short part of the stick be x

Let the long part be x+20

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2 years ago

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There was a total of 18 apples

<u>Step-by-step explanation:</u>

Let us consider the total no. of apples be 'a'.

Patriarca took 1/6 of the apples. So the remaining apples is,

a - (1/6) a= (5/6) a

Step 1:

His wife takes (1/5) of the rest of the apples. So after she takes the apples the remaining apples will be,

(5/6) a - (1/5) (5/6) a

(5/6) a - (1/6) a = (4/6) a

Step 2 :

Her elder son takes (1/4) of the remaining apples. So,

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Step 3:

Middle son takes (1/3) of the remaining apples. So,

(3/6) a - (1/3) (3/6) a

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Step 4:

Younger son takes (1/2) of the remaining apples. So,

(2/6) a - (1/2) (2/6) a

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3 years ago

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3 years ago

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Answer:

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Step-by-step explanation:

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