4x + 5y = 102
7y + 5y = 126

Answers

Answer 1

Answer:

hope you like my question

Step-by-step explanation:

Hi -

What you want to do here is solve the equation by substitution.

To do that, you solve one of the equations for y. then plug that into the other equation so you have an equation with only x as the variable.

1) Solve either equation for y. Lets go with the first one:

4x+5y=102

Subtract 4x from each side:

5y=102-4x

Divide both sides by 5

y=(102-4x)/5

2) Plug this value for y into the other equation we started with:

7x+5y = 126

7x + 5((102-4x)/5) = 126

3) Solve the resulting equation for x.

Since we are multiplying and dividing (102-4x) by 5 the 2 5s cancel each other out

7x + 5((102-4x)/5) = 126

7x + 102 - 4x = 126

Combine the 2 x terms:

3x+102=126

subtract 102 from each side:

3x = 24

Divide both sides by 3:

x=8

Once we have a value for x, we can plug that number into either one of our starting equations to solve for y.

4x + 5y = 102; if x = 8

32+5y = 102

subtract 32 from each side:

5y = 70

Divide both sides by 5:

y = 14

So x = 8 and y = 14.

You can check your work by plugging these numbers both into your 2 initial equations.

4x+5y=102; 4*8+5*14 = 102

7x+5y=126; 7*8 +5*14 = 126


Related Questions

Please help
Is that right?

Answers

Answer:

Yep your very smart

Step-by-step explanation:

Answer:

yep

Step-by-step explanation:

since a triangle's total angle is 180 degrees,

(5x + 18) + (3x + 2) + (x + 16) = 180

9x + 36 = 180

9x = 144

x = 16

m<D = (3x + 2)

m<D = 3(16) + 2

m<D = 48 + 2

m<D = 50 (your answer)

In 1978, a Japanese designer named Tomoyuki Ono grew the first cube-shaped watermelon.
The fruit is placed in a box when it is small, and it grows into the shape of the box. Akira
bought one of these cube-shaped watermelons at the market. The watermelon's edges were
11 inches long.
What was the volume of Akira's watermelon?
Write your answer as a whole number or decimal. Do not round.

Answers

Volume = length * width * height
Volume = 11*11*11
Volume = 1331 cubic inches

If, on their own, it takes 6 hours for Person A to complete a task and 9 hours for Person B to complete the same task, then how many hours would it take if they worked together? Estimate your answer to 4 places after the decimal, if necessary.

Answers

Answer:

Step-by-step explanation:

A does 1/6 of the task per hour.

B does 1/9 of the task per hour.

Together, they do 1/6+1/9 = 5/18 of the task per hour, finishing in 18/5 hours.

18/5 = 3.6 hours

The longest side is 24cm and the second-longest side is 20cm what is the length of the shortest side?

Answers

13.3cm rounded to the nearest 10th

The longest side of triangle is 10 cm which group of line segments could form the other 2 sides of the triangle

Answer

A 5cm and 5 cm

B 7cm and 8cm

C 4cm and 4cm

D 9cm and 10 cm

Please i need to know

Answers

Answer:

The group of line segments that could form the other 2 sides of the triangle is;

B. 7 cm and 8 cm

Step-by-step explanation:

The triangle inequality theorem states that the sum of the length of any two sides of a triangle is larger than the length of the third side

The given parameter of the triangle is that the length of the longest side of the triangle = 10 cm

Let, 'a', and 'b', represent the remaining two sides of the triangle

Therefore, by the triangle inequality theorem, we have;

(1) a + b > 10 cm

(2) 10 cm + a > b

(3) 10 cm + b > a

The option that satisfies condition (1), (2), and (3) are options 'B' and 'D', for which we have;

7 cm + 8 cm = 15 cm > 10 cm

10 cm + 7 cm = 17 cm > 8 cm

10 cm + 8 cm = 18 cm > 7 cm

9 cm + 10 cm = 19 cm > 10 cm

10 cm + 9 cm = 19 cm > 10 cm

10 cm + 10 cm = 20 cm > 9 cm

Therefore, the possible combination of the other two sides are;

7 cm and 8 cm or 9 cm and 10 cm

However, a side of option 'D' is 10 cm and given that the longest side of the triangle = 10 cm, the length of each of the other two side should be less than 10 cm and the only given possible combination of the other two side should be option 'B', 7 cm and 8 cm.

Answer:

B 7cm and 8cm

Step-by-step explanation:

1. A beaker holding 1.5 litres of water is placed in a temperature-controlled room so that 120 mL of
water evaporates each day. Use "d' as the day and V(d) as the volume of water left in beaker.
a) Use function notation to write an equation for this situation.
b)
On which day there will be 900 mL of water left in the beaker? Show all calculations.
c)
Write the domain and range of the function in set builder notation (use variables provided).
Domain:
Range

Answers

Answer:

Oi tudo bem?

meu nome é Ana Kesia, e qual é o seu nome também?

Desculpe-me eu Nn consegui responder sua pergunta.

Mas mesmo assim, agradeço pelos pontos estava precisando.

tchau, tenha uma Ótima tarde!

Bons estudos nas suas atividades!

Wally's Used Cars has 45 cars on the lot. Of the 45, 20% of the cars are red. How many red cars are on the lot?
-9
-20
-25
-36

Answers

Answer is 9. 20% can be looked at as 1/5 and 9 multiplied by 5 is 45 so the answer is nine.

Answer:

9

Step-by-step explanation:

20% is equivalent to the decimal .2

Then multiply .2 x 45

45(.2) = 9

solve the system of equations by graphing. y=4x+2 y=7/2x+1 plz help

Answers

Answer:

LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right so yeah i guess it is?

Step-by-step explanation:

At Stacy's Hats, 41 out of the 82 hats at the store are baseball caps. What percentage of hats at the store are baseball caps

Answers

Answer:

50 percent

Step-by-step explanation:

If x = 15 and y = 4, what is the value of the following expression?
x - 8 + 3y
A.
52
B.
19
C.
41

Answers

B is the answer. This is my work.

HELPPP I WILL GIVE YOU BRAINLIEST WALLAH

Answers

Answer:

78qt= 19.5 U.S. gallons

Step-by-step explanation:

find the volume of metal required to make a closed box of thickness 1 cm with external measurements 12 cm × 7 cm × 10​

Answers

Answer:

The volume of the metal is:

[tex]V_{t}=548\: cm^{3}[/tex]

Step-by-step explanation:

First, let's find the volume of the front face of the square:

[tex]V_{1}=12*7*1=84\: cm^{3}[/tex]

The back face is the same, so we have:  

[tex]V_{2}=84\: cm^{3}[/tex]

The volume of the side faces will be:

[tex]V_{3}=7*10*1=70\: cm^{3}[/tex]

[tex]V_{4}=70\: cm^{3}[/tex]

And finally, the volume of the top and bottom side faces of the box will be:

[tex]V_{5}=12*10*1=120\: cm^{3}[/tex]

[tex]V_{6}=120\: cm^{3}[/tex]

The total volume of the metal will be:

[tex]V_{t}=V_{1}+V_{2}+V_{3}+V_{4}+V_{5}+V_{6}[/tex]

[tex]V_{t}=2(84)+2(70)+2(120)[/tex]

[tex]V_{t}=548\: cm^{3}[/tex]

I hope it helps you!

Kameh owns a bakery. The table below shows his recorded income and expenses for the bakery.
Month Income (s) Expenses (S)
January
1,606 1,664.75
February 1,378 1432.62
March 1,225 1,225.00
June 2,381 1,995.55
July
2,391
2,083.68
August 2,187 1,802.63
Part 1 out of 2
Drag and drop the names of the months in which the income was greater than the expenses into the box.
February
January
August
July
March
June

Answers

Answer:

The months in which the income was greater than the expenses are;

June, July, and August

Step-by-step explanation:

The recorded income and expenses for the bakery are given as follows;

[tex]\begin{array}{cccc}Month&Income \ (\$)&Expense \ (\$)& Difference \ (\$)\\January&1,606&1,664.75 & (58.75)\\February&1,378&1,432.62 & (54.62)\\March&1,225&1,225.00&0.00\\June&2,381&1,995.55&385.45\\July&2,391&2,083.68&307.32\\August&2,187&1,802.63&384.37\end{array}[/tex]

From the difference values obtained in the table above, the months in which the income was greater than the expenses are;

June, July, and August

70 out of 350 calculators at a bookstore are scientific calculators. What percent of the calculators are scientific calculators?

Answers

70/350 = 0.2
0.2 x 100 = 20
it’s 20%

Find the value of each variable in the parallelogram.

Answers

Answer:

n = 12 , m = 5

Step-by-step explanation:

since it is said it is a parallelogram so opposite sides are equal

n = 12 (being opposite sides of parallelogram)

m + 1 = 6 (being opposite sides of parallelogram)

m = 6 - 1

m = 5

Hope it will help :)

Answer:the answer on the bottom is wrong you need to find the variable not x

Step-by-step explanation:

I got it wrong that’s why I said it

ANSWER ASAP!!!
PLS HELP.
ANSWER BOTH QUESTIONS FOR ALL POINTS.

Answers

Answer:

128°

Step-by-step explanation:

x + 154° + 78° = 360° {being complete turn}

x + 232° = 360°

x = 360° - 232°

x = 128°

someone report this so it will get taken down

Can yalllll plllllssss hellppp meeee

Answers

Ummm .... the answer is D

The classroom at Lincoln Middle school are painted every summer.If 7 gallons of paint are needed to paint 4 classrooms, how many gallons of paint are needed to paint 16 classrooms

Answers

Answer:

Step-by-step explanation:

16c(7g/4c)=28g

28 gallons hope this helps


PLZ HELP!!DO ONLY ONE PART IF YOU WANT TO BUT DO BOTH IF YOU CAN(show work btw)

Answers

Answer:

Step-by-step explanation:

Look at picture

b. x +6 <-8 and x-1 > -1

Answers

Answer:

what is the question? please write a question.

Find the values of x and y.

Answers

Answer:

y=180-63-63/2=27degree...in triangle mln

x=180-27-63=90....in triangle mon

Answer:

y=27, x=80

Step-by-step explanation:

∠N= 63°(angles opposite to equal sides)

2∠y+63+63=180°(angle sum property)

2∠y=54°

∠y=27°

27°+63°+∠x=180°(ASP)

∠x=180°-90°=90°

Hope it helps, mark me brainliest pls

6th grade math help me please...

Answers

The correct answer is A.

Answer:

B and D

Step-by-step explanation:

a. 5t+4t =9t

b. t+5+4= t+9

c. 9t

d. 4×5×t= 20t

e. t(5+4)- do the inside the parenthesis first. =9t

the answer would me B and A because the answer isn't 9t so it would be those!! also the boxes on the right you multiply t×5 and t×4 and that would be 5t + 4t =9t

Solve
x + 2y = 3
x - y = 6
x = ?
y = ?

Answers

y=1

x=7

that's the answer !!

convert 235% to a decimal

Answers

Answer:

2.35

Step-by-step explanation:

Answer:

2.35

Step-by-step explanation:

move decimal point left 2

HELP!

y = 2.5x + 5.8
when x = 0.6

Answers

Answer:

[tex]y = 7.3[/tex]

Step-by-step explanation:

y = 2.5(0.6) + 5.8
y = 1.5 + 5.8
y = 7.3

What is the solution to x-1=-2x+5

Answers

Answer:

x = 2

Step-by-step explanation:

Solve for x

x - 1  = -2x + 5

3x = 6

x = 2

Answer: 3

Step-by-step explanation:

1×-2=-2

-2+5=3

-2×1+5=3

I hope this helps, have a good day or night:)

What operation does the expression "7y" mean?

Answers

Answer:

Multiplication

Step-by-step explanation:

7y means 7 times the value of y. So 7 times y = 7y

In ΔKLM, m = 320 cm, ∠L=123° and ∠M=52°. Find the length of l, to the nearest centimeter.

Answers

Answer:

341

Step-by-step explanation:

l=

sin52/320sin123

​ ≈340.572≈341

what is the volume of the cylinder shown below to the nearest hundredth of a cubic meter 3.5 m w 2 m height ​

Answers

Answer:

The answer is 76.97

Step-by-step explanation:

The formula that I used

V=πr^2h

Volume = π·3.52·2 ≈ 76.96902

Answer:76.93

Step-by-step explanation:

Amans age is three times his sons age.ten years ago he was five times his sons age .find their preseny age?

Answers

Click on the image and check the answer

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