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3 years ago

Solve the system by substitution. -5x+2y=-42 6x=y

Mathematics

1 answer:

Drupady [299]3 years ago

6 0

Step-by-step explanation:

since y=6x

by substitution

-5x+ 2 (6x)= -42

-5x+ 12x=-42

7x= - 42

divide both sides by 7

x= 6

y=6x

y =6*6

y=36

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A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

erastovalidia [21]

Answer:

The average yearly salary of the architect is <u>$62,000</u> and the lawyer is <u>$100,000</u>.

Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of an architect and a lawyer.

Let the average yearly salary of an architect be $x.$

So, the average yearly salary of the lawyer = $2x-24,000.$

Combined, architect and lawyer earn = $\$210,000.$

Now, to get the average salary of the architect and lawyer:

$x+(2x-24000)=210000$

$x+2x-24000=210000\\\\3x-24000=210000$

<em>Adding both sides 24000 we get:</em>

$3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.$

<u>The average salary of architect = $62,000.</u>

Now, to get the average salary of lawyer by substituting the value of $x$ :

$2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.$

<u>The average salary of lawyer = $100,000.</u>

Therefore, the average yearly salary of the architect is $62,000 and the lawyer is $100,000.

4 0

3 years ago

Correct + Best explanation gets brainliest.

Yuki888 [10]

let length of the rectangle be l

length is 6 cm longer than the width, w

l = w + 6

perimeter of rectangle is 72 cm

= 2l + 2w

substitute l = w + 6

2(w+6) + 2w = 72

4w + 12 = 72

4w = 60

x = 15

ans is C. 15 cm

5 0

3 years ago

Read 2 more answers

4/10 + 1/2 please help-

Mazyrski [523]

Exact Form:

9 /10

Decimal Form:

0.9

Hope this helps :)

7 0

3 years ago

Read 2 more answers

Is y a function of x? Or not?<br> And explain?

Kazeer [188]

Answer:

Y is NOT a function of X

Step-by-step explanation:

I guess this because it doesn't go in a pattern.

7 0

3 years ago

The income of a person is Rs 18,000 per month .due to the exemption of the income of Rs 1,40,000 per year, he has paid Rs 11,400

svp [43]

If the income of a person is Rs 18,000 per month , the exemption of the income is Rs 1,40,000 per year, If he has paid Rs 11,400 as an income tax at the end of the year . The percent per annum of the tax paid is: 15%.

<h3>
</h3><h3>Tax percentage</h3>

Given:

Income of a person=Rs 18,000 per month

Exemption income per year=140,000

Income tax paid=11,400

First step is to the calculate the Income per year since the income of a person is Rs 18,000 per month

Income per year= 18,000 ×12

Income per year=216,000

Second step is to calculate the taxable income

Taxable income=216,000-140,000

Taxable income=76,000

Third step is to calculate the tax Percentage per annum

Tax percentage=11,400/76,000×100

Tax percentage=15%

Therefore If he has paid Rs 11,400 as an income tax at the end of the year . The percent per annum of the tax paid is: 15%.

<h3 />

Learn more about tax percentage here:brainly.com/question/24274714

#SPJ1

7 0

2 years ago