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ExtremeBDS [4]
4 years ago
12

What is the solution to the system of equations?

Mathematics
1 answer:
yarga [219]4 years ago
8 0

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

x + 2y = - 6 → (1)

3x + y = 2 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the term in y

- 6x - 2y = - 4 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 10 ( divide both sides by - 5 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

2 + 2y = - 6 ( subtract 2 from both sides )

2y = - 8 ( divide both sides by 2 )

y = - 4

Solution is (2, - 4 )

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A chemist has 5 1/10 kg of calcium chloride.
Deffense [45]

5 times 1/10 is 5/10 or 1/2 of a kg. This equals 0.5 kg. You can do 3 experiments (use up until 4.5 kg)

5 0
3 years ago
A patient drinks 5 12ounce cups of coffee daily. The doctor recommends cutting back 60%, how many ounces of coffee can the patie
maksim [4K]

The patient is recommended to take 24 ounces of coffee per day.

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

Patient normal intake of coffee daily = 5 times 12 ounces

                                                          = 5 × 12 = 60 ounces

Doctor recommends to cut off 60 % of the normal intake of coffee.

And advised to take only 40 % of the daily intake of coffee.

So 60 % of 60 ounces can be calculated as,

$\frac{60 \times 60}{100}= 36 ounces

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6 0
3 years ago
Which equation is the inverse of y = 100 - x??
denis-greek [22]

For this case we must find the inverse of the following function:

y = 100-x

To do this, we follow the steps below:

We exchange the variables:

x = 100-y

We clear the variable "x" (the variable is already cleared):

x = 100-y

We change "x" to "y":

y = 100-x

We change y for f^{-1}(x):

f^{-1} (x) = 100-x

ANswer:

f^{-1} (x) = 100-x

4 0
3 years ago
Evaluate x square2 +12,when x=3
GarryVolchara [31]

Answer:

21

Step-by-step explanation:

3^2=9

9+12=21

Keep it up

6 0
3 years ago
If four pounds of a certain candy cost $10 how manu pounds of that candy can be purchased for $12
dangina [55]
4.8 pounds, set it up as 4 over ten times x over 12, 4 times 12 divided by ten equals 4.8
8 0
3 years ago
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