when solving the following system of equations by substitution what would be a correct first step x=y–7 3x+15y=-1

Answers

Answer 1

Answer:

The first step is to replace the value of x from the first equation with x in the second equation:

x=y-7

3x+15y=-1

3(y-7)+15y=-1        

3y-21+15y=-1

18y=-1+21

18y=20

y= [tex]\frac{20}{18}[/tex] = [tex]\frac{10}{9}[/tex]

x= [tex]\frac{10}{9}[/tex] [tex]- 7[/tex]

x=[tex]- \frac{53}{9}[/tex]


Related Questions

How do I solve for X?

Answers

Answer:

not sure how to explain how to solve it but I believe x=11

Step-by-step explanation:

Pond Critters
Ms. Wilson sets up a pond water aquarium in the classroom. Ms. Wilson tells the class
there are five different kinds of aquatic animals in the aquarium. There are caddis fly
larvae, diving beetles, whirligig beetles, dragonflies and tadpoles.
Ms. Wilson says one-twelfth of the pond animals are dragonflies. One-third of the
animals are caddis fly larvae. One-fourth are tadpoles. There are the same number of
diving beetles as whirligig beetles. If there are six dragonflies, how many pond critters
are in the aquarium? How many caddis fly larvae, tadpoles, diving beetles and whirligig
beetles are in the aquarium? Show all your mathematical thinking.

Answers

Answer: There are 72 pond critters  in the aquarium. There are 24 caddis fly larvae, 18 tadpoles, 12 diving beetles and 12 whirligig  beetles in the aquarium.

Step-by-step explanation:

Given :  There are caddis fly  larvae, diving beetles, whirligig beetles, dragonflies and tadpoles in the aquarium

One-twelfth of the pond animals are dragonflies

One-third of the  animals are caddis fly larvae.

One-fourth are tadpoles.

The same number of  diving beetles as whirligig beetles.

Number of dragon flies = 6

Let the total animals are = x, dragon flies are represented by d , caddis fly larvae as c, tadpoles as t , diving beetles as b and whirligig beetles as w.

Now : x = d + c + t+ b + w

[tex]\frac{1}{12}\times x=d[/tex]    (1)

[tex]\frac{1}{3}\times x=c[/tex]    (2)

[tex]\frac{1}{4}\times x=t[/tex]   (3)

[tex]b=w[/tex]      (4)

[tex]d=6[/tex]       (5)

Comparing 1 and 5

[tex]\frac{1}{12}\times x=6////x=72[/tex]

Thus pond critters are 72.

[tex]c=\frac{1}{3}\times 72=24[/tex]

[tex]t=\frac{1}{4}\times 72=18[/tex]  

[tex]d=6[/tex]

Now x = d + c + t+ b + w

72 = 6+24+18+b+b   (as b= w)

2b =24

b = 12

Thus w = 12.

please help ill give brainliest

Answers

F because the circle is enclosed and pointing to the right

A rat population is currently 10000. It would triple after 120 days. How many days does the population stay under 100000?

Answers

Answer:

I think the answer is 120 days

Step-by-step explanation:

After 120 days, population will be 10000 times 3 which is equal to 30000

After another 120 days, population will be 30000 times 3 which is equal to 90000 and 90000 is under 100000

hence after 240 days, the population will still stay under 100000

Answer:

120 days

Step-by-step explanation:

It will remain the same as before.

Given the system of equations, match the following items. x + 2y = 7 x - 2y = -1

Answers

Answer:

efd

Step-by-step explanation:

fsdvchrsdfg

how can you change mm to meters

Answers

Answer:

Step-by-step explanation:

1 meter = 1000 mm

So, 1 mm = [tex]\frac{1}{1000}[/tex] m

To change mm to meter, divide the given mm value by 1000

Ex: 50 mm = 50 ÷ 1000 = 0.05 m

       5 mm = 5 ÷ 1000 = 0.005

Answer:

To convert millimeters to meters, multiply the number of millimeters by 0.001.

To convert meters to millimeters, multiply the number of meters by 1000.

Step-by-step explanation:

1 millimeter is 0.001 meters.

1 meter is 1000 millimeters.

To convert millimeters to meters, multiply the number of millimeters by 0.001.

Example:

This object is 100 millimeters long. How many meters long is it?

100 x 0.001 = 0.1

0.1 meters.

To convert meters to millimeters, multiply the number of meters by 1000.

Example:

This object is 100 meters long. How many millimeters long is it?

100 x 1000 = 100000

100000 millimeters.

anyone got tips on how to be more socially confident?

Answers

Answer:

Hmmmm i'm not sure. I don't have much social confidence but apparently people like talking to me. I just kind of act nice and caring

Step-by-step explanation:

Answer:

Find people in the same position as you and try and make more friends people may tease you but it's because they want to break you tear you down. But, when you find that special person in your life they will act like glue and you'll be as good as new!

Calculate the total cost of my bill if I order 2 dozen cricket balls at $100.00 each.

Answers

Answer: $2400.00 without 8% tax $2592.00 with 8% tax

Step-by-step explanation:

2x12x100

(X1.08 for tax)

what's the value of given expression

[tex] \sqrt{18 \times 2} [/tex]

Answers

The answer should be 6

If y varies to x and if y=6 when , x=9 find y when x=15​

Answers

Answer:

y=10

Step-by-step explanation:

Set up a proportion

x/y = 9/6 (simplified, 3/2)

15/y = 3/2

Use cross multiplication,

3y = 30

y = 10

PLEASE HELP Ramone took the SAT twice. He scored 1340
on his second try, which was 190 points
higher than his first score. Find his first score.

Answers

Answer:

1150

Step-by-step explanation:

1340-190=1150

Answer:

1530

Step-by-step explanation:

well frist you have to see that he got a lower score then his first try then you would have to add because you are trying to figure out what his frist score was. So the problem would be 1340+190=?

find the area of a circle with a circumference of 131.95

Answers

Answer:

A=1385.51

Step-by-step explanation:

A=pir^2

C= 2pir

A= C^2/4pi

131.95^2/4pi

A= 1385.51

Answer:

Step-by-step explanation:

which value makes the inequality X > 2.5 true??

Answers

Answer:

X= 5.

Step-by-step explanation:

Basically, any number that is greater than 2.5

Hope this helps. =)

Find the value of x if m 1= 4x + 2

Answers

Answer:

x= -1/4

Step-by-step explanation:

The value of x is -1/4 in the given equation 1=4x+2.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 1=4x+2

One equal to four times of x plus two

In the given equation x is the variable and plus is the operator.

1=4x+2

Subtract 2 from both sides to isolate the x term

1-2=4x

-1=4x

Divide both sides by 4

x=-1/4

Hence, the value of x is -1/4 in the given equation 1=4x+2.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

The line plot shows the distances, in miles, run by joggers in a park.
---------------------------------
A number line with one x above .5, one x above 1.5, one x above 2, one x above 3, two xs above 3.5, two xs above 4, one x above 4.5, and one x above 8.5.
How many runners ran at least 3 miles?

Enter your answer in the box.
{ } runners

Answers

Answer:

7 runners

Step-by-step explanation:

In order to figure this question out, you need to count them up. Count up all the runners that are plotted from 3 miles on. Anything before that is under 3 miles, so it doesn't count.

After counting them up, you will find that there are 7 runners marked who ran 3 miles or more. So your answer is 7 runners.

I hope this helps! Please let me know if you need any more help. Have a great day!

Classify the polynomial by degree

Answers

Answer:

Linear polynomial

Step-by-step explanation:

10 + 7x

The highest power of the variable is the degree of the polynomial.

Power of x is 1

Degree of the polynomial is 1

So, it is Linear polynomial

Plz, help. What is the mode? ​

Answers

Answer:

None

Step-by-step explanation:

Mode is the number that repeats the most. All of these numbers are unique, and there is no repeats, therefore there is no mode.

Answer:

what do you mean do you just have to pic one of the answers that are not crossed

Step-by-step explanation:

Help brainy please help help help

Answers

Answer:y=-x

Step-by-step explanation:

A triangle has three angles with the measures of (2x), (2x + 14), and (6x + 6)".
What is the measure of the smallest angle in the triangle?

Answers

Answer:

Option c : 32 degree.

Step-by-step explanation:

2x + 2x + 14 + 6x + 6 = 180 degrees

10x = 160

x = 16

2x = 16 *2 = 32 degrees

Answer:

Step-by-step explanation:

Angles in a triangle add up to 180°

You take 2x+2x+14+6x+6=180°

Collect like term and add 2x+2x+6x+14+4=180°

10x+20=180°

10x=180°-20

10x=160÷10

x=16

16*2=32

16*2+14=46

16*6+6=100

Smallest angle is 32

A ramp was constructed to load a truck. If the ramp is 8 feet long and the horizontal distance from the bottom of the ramp to the truck is 3 feet, what is the vertical height of the ramp?

Answers

Answer:

x=[tex]\sqrt{55}[/tex] or about 7.4

Step-by-step explanation:

Use the Pythagorean Theorem:

8^2=3^2+x^2

64=9+x^2

55=x^2

x=[tex]\sqrt{55}[/tex] or about 7.4

Answer:

7.42 feet

Step-by-step explanation:

.

complete the statement to describe the expression

Answers

if you had a phone you could download brainly and use a photo to search your answer

Step-by-step explanation:

Answer:

It has 4 factors and 2 terms

Step-by-step explanation:

The terms are the groups of parentheses and the factors are the variables that are inside the parentheses.I hope this helps!

Hi y’all can plz help me with this it would mean a lot.....Thanks!

Answers

Answer:

where's the question 0.0

Which of the following points does not lie on the line y = -2x +5?
A. (4-3)
B. (-2,9)
с. (3,1)
D. (-1,7)
E. (2, 1)

Answers

Answer:

C (3, 1 )

Step-by-step explanation:

To determine if a point lies on the line, substitute the x- coordinate of the point into the equation and if the value obtained equals the y- coordinate of the point then it lies on the line, otherwise not on line.

A (4 , - 3)

y = - 2(4) + 5 = - 8 + 5 = - 3 ← lies on line

B (- 2, 9 )

y = - 2(- 2) + 5 = 4 + 5 = 9 ← lies on line

C (3, 1 )

y = - 2(3) + 5 = - 6 + 5 = - 1 ≠ 1 ← not on line

D (- 1, 7 )

y = - 2(- 1) + 5 = 2 + 5 = 7 ← lies on line

E (2, 1 ) = - 2(2) + 5 = - 4 + 5 = 1 ← lies on line

Thus (3, 1 ) does not lie on the line → C

Monday at the movies, the three McDonald siblings spent $44 on three tickets and two popcorn/drink combos. Thursday, they each brought a friend and spent $97.25 on six tickets and five combos. What is the cost of a ticket and the cost of a popcorn/drink combo?

Answers

Answer:

Step-by-step explanation:

Write an equation for the polynomial graphed below
y(x)=_________

Answers

Answer:

dont know the answer i feel sry for u

:    )

Step-by-step explanation:

plz help!! I need an answer ASAP

Answers

Answer:

-5/2

Step-by-step explanation:

-5y=-2x+3

y=2/5x-3/5

The slope is negative recipricol

1 Add
5
y
5y to both sides.
2
x

3
=
5
y
2x−3=5y

2 Add
3
3 to both sides.
2
x
=
5
y
+
3
2x=5y+3

3 Divide both sides by
2
2.
x
=
5
y
+
3
2
x=
2
5y+3

Write two equivalent rates for 3 breads made in 45 minutes.

Answers

Answer:

1/15 ; 6/90

Step-by-step explanation:

[tex]\frac{3}{45}=\frac{1}{15} \\\\\frac{3}{45}=\frac{3*2}{45*2}=\frac{6}{90}[/tex]

The Johnson family buys a new furnace and air conditioner unit for $5000.00. The purchase is made with a credit card that has a 12% APR.

The Johnsons make a $250.00 monthly payment. How many months will it take to pay off the credit card balance? Enter your answer as a whole number, such as: 40.

Answers

12% of 5000= 600
5600 divided by 250= 22.4 or rounded to 22 months

I think that’s right ^

Pls help will give the big brain award

+if you help more you get more brainliest

Answers

64 in2 is the answer

Answer:

56in³

Step-by-step explanation:

you can make an imaginary division and create two different prisms. the bigger prism's volume is 4×3×4=48 and the smaller prism's volume is 4×2×1=8. add up the product to get total volume of 56in³ (³ because it is volume and not area)

10. Which expression is equivalent to 1.6x-4.8?
(3 Points)
0.4(4x - 1.2)
0.2(8x + 24)
0.8(2x – 0.6)
0.8(2x - 6)

Answers

Answer is

0.8(2x-6)

Step-by-step explanation:

0.8x2x=1.6x

0.8x-6 = -4.8

Other Questions
In 2004 kyle was 8 years old . In 2006 kyle was was four year older than his cousin albert. a.how old was albert in 2004. b. in what year was albert born Can someone just proof readRobert Fulton was born on a farm in Little Britain, Pennsylvania, on November 14, 1765. His father, Robert Fulton, married Mary Smith, daughter of Captain Joseph Smith and sister of Col. Lester Smith, a comparatively well off family. West took Fulton into his home, where Fulton lived for several years and studied painting. Fulton gained many commissions painting portraits and landscapes, which allowed him to support himself. In 1794, he moved to Manchester to gain practical knowledge of English canal engineering. While there he became friendly with Robert Owen, a cotton manufacturer and early socialist. Owen agreed to finance the development and promotion of Fulton's designs for inclined planes and earth-digging machines; he was instrumental in introducing the American to a canal company, which awarded him a sub-contract. The first successful trial run of a steamboat in America had been made by inventor John Fitch, on the Delaware River on August 22, 1787. William Symington had successfully tried steamboats in 1788, and it seems probable that Fulton was aware of these developments. In Paris, Fulton met James Rumsey, an inventor from Virginia with an interest in steamboats, who in 1786 ran his own first steamboat up the Potomac River. In France, Fulton met Robert R. Livingston, who was appointed U.S. Ambassador to France in 1801. He also had a scientifically curious mind, and the two men decided to collaborate on building a steamboat and to try operating it on the Seine. 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Assume the best choice for recycle carts in your area was $80 per cart. 2ND TIME POSTING THIS; YOU WILL GET BRAINLIEST IF YOU ANSWER: Choose one character from the Canterbury Tales and tell what he/she is like. 8 sentences at least in your own words, please HELP PLEASE!!!!! What was the goal of the Abolition Movement and what were two strategies they used to accomplish this goal? (You may need write two sentences) What is the missing Length Theory Enterprises uses a standard cost system and prepared the following budget for May when 24,000 machine hours of activity were anticipated: variable overhead, $48,000; fixed overhead: $240,000. Actual data for May were: Standard machine hours allowed for output attained: 25,000 Actual machine hours worked: 24,000 Variable overhead incurred: $50,000 Fixed overhead incurred: $250,000 The variable-overhead spending and efficiency variances for Theory are: Variable-Overhead Spending Variance Variable-Overhead Efficiency Variance A. $ 0 $ 0 B. $ 0 $ 2,000 unfavorable C. $ 2,000 unfavorable $ 0 D. $ 2,000 favorable $ 2,000 unfavorable E. $ 2,000 unfavorable $ 2,000 favorable Urgent! I will mark you brainliest and rate you five stars for the correct answer! :) Pls help you will get brainlist if ya do According to the MyPlate guidelines, which type of protein should Americans eat more of?chicken breastblack beansbeefeggs Please help!! :'(Why was the battle of the bulge a "turning point" in WWII? Explain in your own words, please. please help ill give brainless NEED HELP ASAP PLEASE HELP ILL GIVE YOU BRAINLIEST Hey I need advice:There is a track meet I have to go to today and I really don't want to go. This is because my teacher is going to be there and I really don't want her to see me because I do online and my parents will make me speak up too loud to her and I don't want her to see my twin. Anyways how would you raise your core body temperature in a few hours for real? Please don't report. This is very important to me. Thank you guys I really appreciate!!!! The overnight temperature in Polokwane drops from 11 C to -2 C. By how many degrees has the temperature dropped?