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WINSTONCH [101]
3 years ago
5

3y=11-2x, 3x=y-11 linear equation solve using the algebraic method check solution

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0

Answer:

(x, y) = (- 2, 5)

Step-by-step explanation:

given the 2 equations

3y = 11 - 2x → (1)

3x = y - 11 → (2)

Rearrange (2) expressing y in terms of x

add 11 to both sides

y = 3x + 11 → (3)

Substitute y = 3x + 11 into (1)

3(3x + 11) = 11 - 2x

9x + 33 = 11 - 2x ( add 2x to both sides )

11x + 33 = 11 ( subtract 33 from both sides )

11x = - 22 ( divide both sides by 11 )

x = - 2

Substitute x = - 2 in (3) for corresponding value of y

y = (3 × - 2) + 11 = - 6 + 11 = 5

As a check

substitute x = - 2, y = 5 into (1) and (2) and if the left side equals the right side then these values are the solution.

(1) :  left side = (3 × 5) = 15

right side = 11 - (2 × - 2) = 11 + 4 = 15 ⇒ left = right

(2) : left side = (3 × - 2 ) = - 6

right side = 5 - 11 = - 6 ⇒ left = right

solution = (- 2, 5 )



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Marat540 [252]
Answer: 1,400 calories



Bianca jogged 1.25 miles per day for 8 days. so 1.25*8 would equal 10 miles.

Since she jogged 10 miles and burned 140 calories per mile, if we multiply 10*140, we would get 1,400.

So last month, she lost 1,400 calories.
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2 years ago
Qual é o resultado do mdc 630,154
meriva

Answer:

???? Wydm?

Step-by-step explanation:

5 0
3 years ago
The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion about 3/4 comes from tolls on
Rama09 [41]

Percent of turn pike is 75% and percent of parkway is 25%.

<u>Solution:</u>

Given, The state of New Jersey makes approximately $1.55 billion annually from tolls of the $1.55 billion

About \frac{3}{4} comes from tolls on the turnpike

Remaining \frac{1}{4} comes from tolls on the parkway  

<em><u>To find the percent of the total revenue from turnpike:</u></em>

\begin{array}{l}{\text { Percent of turnpike }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \text { of total revenue }}{\text { tot al revenue }} \times 100} \\\\ {=\frac{\frac{3}{4} \times \text { total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{3}{4} \times 100=3 \times 25=75 \%}\end{array}

<em><u>To find the percent of the total revenue from parkway:</u></em>

\begin{array}{l}{\text { Percent of parkway }=\frac{\text { amount from parkway }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \text { of total revenue }}{\text { total revenue }} \times 100} \\\\ {=\frac{\frac{1}{4} \times \text { total revenue}}{\text { total revenue }} \times 100} \\\\ {=\frac{1}{4} \times 100=25 \%}\end{array}

<em><u>Summarizing the results:</u></em>

Percent of turn pike is 75%

Percent of parkway is 25%

3 0
3 years ago
The area of a rectangular painting is 5/8 square yard. The width is 3/4 yard. What is the length of the painting?
vfiekz [6]

Answer:

The answer is

<h2>\frac{5}{6}  \:  \:  \:  \: yards \\</h2>

Step-by-step explanation:

Area of a rectangle = length × width

Since we are finding the length of the rectangle

length =  \frac{area}{width}  \\

From the question

area = 5/8 square yards

width = 3/4 yard

So we have

length =  \frac{5}{8}  \div  \frac{3}{4}  \\  =  \frac{5}{8}  \times  \frac{4}{3}  \\  =  \frac{5}{2}  \times  \frac{1}{3}

We have the final answer as

\frac{5}{6}  \:  \:  \:  \: yards \\

Hope this helps you

3 0
3 years ago
The variables x and y vary inversely. When y is 10, x is 10. What is x when y is 20
dezoksy [38]
<span>inversely
y = k/x
k = yx
k = 10*10 = 100

when y = 20

20 = 100/x
20x = 100
   x = 5

answer
</span><span> x = 5 when y is 20</span>
8 0
3 years ago
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