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Ilya [14]
3 years ago
13

Solve the following system of equations by substitution and select the correct answer below:

Mathematics
2 answers:
Anni [7]3 years ago
6 0
The answer is x= 4 and y= -3

6x-4y=36 -- (1)

2x-8y=32- (2)

from (1)
-4y= 36-6x
y= -9+3/2x 

(3) into (2)
2x-8(-9+3/2x)=32
2x+72-12x=32
72-10x=32
-10x= -40
x= 4

sub x=4 into y= -9+3/2x
y= -9+3/2(4)
y= -3
Sauron [17]3 years ago
3 0
First, we take one of our equations and solve for one variable in terms of the other.
This is similar to solving a one-variable equation.

6x - 4y = 36
Get one variable on one side.
6x = 36 + 4y
Divide by 6.
x = 6 + 2/3y

Now, we substitute this value for x in our second equation.

2x - 8y = 32
2(6 + 2/3y) - 8y = 32
Distribute the 2...
12 + 4/3y - 8y = 32
Subtract 12 from each side...
4/3y - 8y = 20
Multiply everything by 3 to get rid of that fraction.
4y - 24y = 60
-20y = 60
Divide by -20...
y = -3

Use this value in an earlier equation to find x.

<span>6x − 4y = 36
</span>6x - 4(-3) = 36
6x + 12 = 36
6x = 24
x = 4
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Please help me! yah thats all i just need help
Verdich [7]

Answer:

WT=63

Step-by-step explanation:

\frac{56}{5 \times x + 3}  =  \frac{40}{4 \times x - 3}  \\ x = 12

So

5 \times x + 3 = 5 \times 12 + 3 = 63

6 0
3 years ago
A and B are supplementary. A is 20 less than three times the measure of B. What are the measures of A and B?
Amanda [17]

Answer:

∠ A = 130° , ∠ B = 50°

Step-by-step explanation:

supplementary angles sum to 180°

express ∠ A in terms of ∠ B , that is ∠ A = 3∠B - 20 , then

∠ A + ∠ B = 180° , that is

3∠B - 20+ ∠B = 180 ( add 20 to both sides )

4∠B = 200 (divide both sides by 4 )

∠ B = 50°

∠ A = 3 × 50° - 20 = 150° - 20° = 130°

8 0
2 years ago
Problem 4<br> Solve x^2-8x=5
ra1l [238]

Answer:C

Step-by-step explanation:

x=4+√21,4−√21

Decimal Form:

8.58257569

0.58257569

7 0
3 years ago
The following function describes the number of employees working at a company, In thousands, where trepresents the number of yea
NISA [10]

Consider the missing part of the question is "Select the correct statement.

A. The number of employees is increasing by 50% every year.

B. The number of employees is decreasing by 10% every year.

C. The number of employees is decreasing by 90% every year.

D. The number of employees is increasing by 90% every year."

Given:

The function is:

f(t)=1.5(0.90)^t

Where, f(t) is the number of employees working at a company, in thousands and t is the number of years since the company revised the benefits package.

To find:

The correct statement from the given options.

Solution:

The general exponential decay model is:

f(t)=a(1-r)^t         ...(i)

Where, a is the initial value, r is the rate of decay and t is the number of years.

We have,

f(t)=1.5(0.90)^t

It can be written as

f(t)=1.5(1-0.10)^t        ...(ii)

From (i) and (ii), we get

a=1.5,r=0.10

The initial value is 1.5 and the rate of decay is 0.10 or 10%. It means the number of employees is decreasing by 10% every year.

Therefore, the correct option is B.

5 0
3 years ago
Claire wants to start a stamp collection. She spends $15 on an album to hold her stamps and $1.25 for each stamp. If she has $40
enyata [817]

Answer:

20

Step-by-step explanation:

40 - 15 = 25

25/1.25=20

7 0
3 years ago
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