Using the substitution method, Vito is solving the following system of equations algebraically:
y + 3x =-4
2x – 3y =-21
Which equivalent equation could Vito use?
A) 2(-3x - 4) + 3x =- 21
B) 2(3x - 4) + 3x =- 21
C) 2x - 3(-3x – 4) =- 21
D) 2x - 3(3x - 4) =- 21

Answers

Answer 1

Answer:

The correct answer is Option C: [tex]2x-3(-3x-4)=-21[/tex]

Step-by-step explanation:

The given equations are:

[tex]y + 3x =-4\ \ \ Eqn\ 1\\2x-3y =-21\ \ \ Eqn\ 2[/tex]

The equations have to be solved using substitution method. In substitution method we find the value of a variable from one equation and put it in the other equation.

To find the value, we usually choose the equation in which a variable without any coefficient is available.

From equation 1

[tex]y +3x = -4\\y = -3x-4\\[/tex]

This value of y will be put in equation 2

[tex]2x-3(-3x-4)=-21[/tex]

It is the C option in choices

Hence,

The correct answer is Option C: [tex]2x-3(-3x-4)=-21[/tex]

Answer 2

Answer:

Hey, where did you get this question? Do you have answer key of this worksheets all things I need it to.

Step-by-step explanation:


Related Questions

Help please








..........................

Answers

Step-by-step explanation:

With reference angle theta

perpendicular (p) = 20

base (b) = 50

tan theta = p/b

= 20/ 50

So the height of the tree is 20 feet

A smart TV is on sale for 10% off. If the original price is $1,200, what is the sale price?

Answers

Answer:

$1,080 please mark brainliest if satisfied

Step-by-step explanation:

1200 times 0.1 equals 120

1200 minus 120 equals 1080

Answer:

You will get 120$ discount.

Step-by-step explanation:

Joshua took a math contest with 25 questions. Each correct answer earned 6 points while each incorrect answer deducted 4 points. Joshua answered every question and earned 100 points. How many questions did Joshua answer correctly?

Answers

Answer:

20

Step-by-step explanation:

20*6=120

4*5=20

120-20=100

Help? I dont get it

Answers

Answer:

its 6%

Step-by-step explanation:

0.60 and 0.6 is the same thing. 6% is bigger than the other two.

Answer:I believe that the middle answer (6%) should be circled.

Step-by-step explanation: Six percent or 0.06 in decimal form is different than 0.60, which is the equivalent of the other two answers.

solve the equation 5 (2x+1) = 25

Answers

Answer:

X=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation

2x2 = 4

so

4+1 =5

5x5 =25 ez

Which statement is NOT true concerning the graphing of a linear system?
You can only graph a system of linear equations with a graphing calculator.
Systems of linear equations that contain coordinates with fractions or decimals can be challenging.
You need to be careful and plot straight lines.
The point of intersection of lines that intersect at a shallow angle is difficult to determine.

Answers

Answer:

1

Step-by-step explanation:

the first one it's not right

The statement which is NOT true concerning the graphing of a linear system is You can only graph a system of linear equations with a graphing calculator.

What is graphing of linear system?

Every linear equation in two variables can be represented geometrically as a straight line in a coordinate plane. Points on the line are the solution of the equation. This why equations with degree one are called as linear equations.

Graphing of a linear system includes :

Recognize the relationship between the solutions of an equation and its graph.Graph a linear equation by plotting points.Graph vertical and horizontal lines

According to the question

Graphing of a linear system includes :

Systems of linear equations that contain coordinates with fractions or decimals can be challenging.You need to be careful and plot straight lines.The point of intersection of lines that intersect at a shallow angle is difficult to determine.

But NOT true for :

You can only graph a system of linear equations with a graphing calculator.

Hence, the statement which is NOT true concerning the graphing of a linear system is You can only graph a system of linear equations with a graphing calculator.

To know more about  graphing of linear system  here:

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The cost of beauty products was raised 4%. What is the cost of something that was previously $30?

please help me

Answers

Answer:

$31.2

Step-by-step explanation:

multiply 30 by 4%

30 × 0.04=1.2

then add 1.2 to 30 to get

31.2

Work our the surface area of this cylinder?

Answers

Answer:

[tex]A=522.97\ \text{cm}^2[/tex]

Step-by-step explanation:

Given that,

The diameter of the cylinder, d = 8 cm

Radius, r = 4 cm

Height of the cylinder, h = 16.8 cm

We need to find the surface area of this cylinder. The formula for the surface area of the cylinder is given by :

[tex]A=2\pi r^2+2\pi rh\\\\=2\pi r(r+h)\\\\=2\times \dfrac{22}{7}\times 4\times (4+16.8)\\\\=522.97\ \text{cm}^2[/tex]

So, the surface area of the cylinder is [tex]522.97\ \text{cm}^2[/tex]

Help please 1. Solve the system of equations using substitution. Show your work in the workspace provided below.
y= 6x +1
y=-2 +6x

2. Solve the system of equations using substitution. Show your work in the workspace provided below
2x-3y=-1
Y=x-1

Answers

Answer:

x=4 y=3

its the answer for both

hope that helps

30 points HELPPPPPPPPPPPPP

Answers

Answer:

X= 61

Y I believe is 29 but I'm not certain

Answer:

X=61

Step-by-step explanation:

please give me a heart

2x + 5y = 1




Jdhdjdjdnbdnskdksknsnendjc

Answers

Slope intercept

y= -2/5x + 1/5

How many positive integers from 1-100 (including 1 and 100) are divisible by 3 or by
5, but not by both?

Answers

i counted myself because i don’t know a formula and i got 41 i hope i’m not wrong

If x is the number of bags of M&Ms bought at $3 per bag, and y is the number of bags of Kit Kats
bought at $4 per bag, which expression represents the total amount spent on M&Ms and Kit Kats?

Answers

Answer:

3x+4y

Step-by-step explanation:

If you buy 2 M&Ms, you would get $6. Plugging in 2 for x would indeed give us 6, which makes sense.

If you buy 2 KitKats, you would get $8. Plugging in 2 for y would indeed give us 8, which makes sense.

Therefore, we can plug in x and y for the unknowns and add them together to find the total amount spent on both candies.

3x+4y
Then fill in the x and y as needed

Philip is saving money to buy a new computer. He saves the same amount of money each
week.
• After 2 weeks of saving, Philip still needs $520 to buy the computer.
• After 6 weeks of saving, Philip still needs $300 to buy the computer.
How much does the computer cost?

Answers

Answer: 1020

Step-by-step explanation:

300 + 200 = 500 + 520 = 1020

Mandy performed an experiment in which she randomly drew one marble at a time from a bag, with replacement. The bag contained one marble each of red, blue, green, yellow, and purple. The results of her experiment are shown below. Marble Color Times Drawn red 5 blue 7 green 7 yellow 3 purple 8 Based on the experiment above, predict the number of times a yellow marble would be drawn if she performs the experiment a total of 90 times.

Answers

Answer: 9

Step-by-step explanation:

Results in the experiment:

Marble Color   Times Drawn

 red                      5

blue                       7

green                       7

yellow                       3

purple                       8

Total marbles = 5+7+7+3+8 = 30

Probability of getting yellow marble = [tex]\dfrac3{30}=\dfrac1{10}[/tex]

If she performs the experiment a total of 90 times= [tex]\dfrac{1}{10}\times90=9[/tex].

Hence, the number of times a yellow marble would be drawn = 9

(-11/6) + m = -2/9
help me pls

Answers

Answer:

M= 29/18

Step-by-step explanation:

Noah buys coffee sachets to use in his coffee maker. One day he buys enough coffee sachets to last him four weeks. He uses 3 coffee sachets each day. There are 10 coffee sachets in a pack. A pack costs £2.99 How much does Noah spend?

Answers

Step-by-step explanation:

1 week has a total of 7 days

4 weeks (7, 14, 21, 28) 28 days

3 coffee sackets each day so 28x3=84

10 sackets in a pack 9 packs

£2.99x9=26.91

Noah spends £26.91

David lost 15 dollars from his pocket. Write a signed number to represent this change.


I really need help please don't delete this

Answers

Answer:

no hablo espanol Lo siento

The signed number representation for David losing 15 dollars is -15, indicating a decrease of 15 units in his pocket.

We can use a negative value since he lost money to represent the change of David losing 15 dollars from his pocket using signed numbers. Using a signed number system, we represent positive values as regular numbers and negative values with a minus sign (-) in front of the number. So, in this case, the change can be represented as: -15

The negative sign (-) indicates that David lost 15 dollars. In signed number notation, the minus sign represents a decrease or a loss, while a positive sign (+) represents an increase or a gain.

In summary, the signed number representation for David losing 15 dollars is -15, indicating a decrease of 15 units in his pocket.

To know more about number

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Solve the inequality
x/3 - 2 <4

Answers

The solution for the given inequality is x<18.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is x/3 -2<4.

Add 2 on both the sides of an inequality, we get

x/3<6

Multiply 3 on both the sides of an inequality, we get

x<18

Therefore, the solution for the given inequality is x<18.

To learn more about the inequalities visit:

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5 cm
2 cm
2 cm
5 cm
What is the perimeter of the shape?
A. 2 cm
B. 5 cm
0
C 7 cm
D. 10 cm
OE 14 cm
Help pls

Answers

the answer would be E. perimeter is adding

Answer:

E. 14

Step-by-step explanation:

The shape is clearly a rectangle, from the units given

Perimeter= distance round a shape

Perimeter= 5+5+2+2=14

How is 7 (x + 2) different? Brainstorm how this problem could be simplified

Help ples!!!!

Answers

answer:

distribute

step-by-step explanation:

7(x+2)

7(x)=7x

7(2)= 14

7x+14

A runner ran 20 miles in 150 minutes. If she runs at that speed, how far could she run in 15 minutes?

Answers

Answer:

Step-by-step explanation:

first you do 150 divided by 20, which equals 7.5, so then you would do 7.5 times 6 and that equals 45 minutes. Hope that helped!

is this right? Either Table C or Table D shows a proportional relationship.

Plot all the points from the table that shows a proportional relationship.

Table C

x 3 4 5 6
y 1 2 3 4

Table D

x 2 4 8 10
y 1 2 4 5

Answers

Answer:

yee .......................

The point (1, -5) is reflected across the y-axis. What are it's new coordinates?

Answers

Answer:

I'm in 6th grade  and we talked about this so I can help!

Step-by-step explanation:

The answer is (-1,-5) which is in quadrant 3

Answer:

It would be (-1, -5) because it is reflected across the y axis which means the y axis stays the same, but the x axis changes

Step-by-step explanation:

What is the area of the circle? Use 3. 14 as an estimate for pi.
A. 21.98 m2
B. 43.96 m2
C. 153.86 m2
D. 483.12 m2
E. 615.44 m2

Answers

153.86m^2

Step-by-step explanation:

diameter=14

radius=14/2=7

area of circle=pi×r^2

"" =3.14×7^2

=3.14×7×7

=153.86m^2

Please help ?
11= 2α +6-1

Answers

A=3 hahshsjekekejejnanansndfdjsjd sorry with the random letters it said 20 words or longer
Answer: a=3

Explanation: Switch sides
2a+6-1=11
2a+5=11
Subtract 5 on both sides
2a=6
Divide by 2 on both sides
2a/2=6/2
a=3

FOR 47 POINTS PLEASE HELP
QUESTION 1
If RS is 2x+15, and VW is 3x+5, and UT is 6x-37. What is RS?

QUESTION 2
Angle J is (7x+2) Angle L is (25x-14)
What is (x)

Answers

Answer:

UV=25 units

Step-by-step explanation:

we know that

UW=UV+VW -----> by addition segment postulate

substitute the given values

4x+10=5x+5

solve for x

5x-4x=10-5

x=5

Find the value of UV

UV=5x

substitute the value of x

UV=5(5)=25 units

A 2 × 3 rectangle is partitioned into 6 congruent numbered squares as shown. A single 1 × 2 rectangle is placed to cover exactly 2 of the numbered squares. The covered numbers are then added together. How many different sums can result?

Answers

Answer:

7

Step-by-step explanation:

If you use your mouse or something to cover two of the squares at a time and then make tally marks then you should get 7. I'm not sure if i'm right though, so don't take my answer as the law or something like that.

a triangle with sides of length 9 cm,12cm and 15 cm is a right triangle true or fauls

Answers

Answer: True.

Step-by-step explanation:

a^2 + b^2 = c^2 (c is the longest)81 + 144 = 225225 = 225

Answer:

yes it is

Step-by-step explanation:

because 9^2+12^2 = 15^2

225=225

Find the volume of this 3D shape please timed!!

Answers

Answer:

74 ft cubed I believe

Step-by-step explanation:

74 cubicfeet

Step-by-step explanation:

uhh quick maths 36+36+2

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