Solve the system below by substitution.
6x - y = - 23
2x + 5y = -13

Answers

Answer 1

Answer:

x= -4 y= -1

Step-by-step explanation:

6x - y = - 23

-y=-23-6x

y=6x+23, use this to plug in for y in the second equation.

2x + 5y = -13

2x + 5(6x+23) = -13

2x+30x+115=-13

x= -4, use this to plug in for x in the first equation.

6x - y = - 23

6(-4)-y=-23

-24-y=-23

-y=-23+24

-y=1

y= -1

Answer 2

The values after solving the equations by substitution is that the value of x is -4 and the value of y is -1.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the provided data in the question,

6x - y = -23  (i)

2x + 5y = -13  (ii)

Multiply equation (ii) by 3

6x + 15y = -39 (iii)

Solve equation (i) and (iii)

-16y = 16

y = -1

Substitute y = -1 in equation (i)

6x = -23 - 1

x = -4.

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Related Questions

2. Which property is being used in the second line?
line 1: (4.5.-1). -6
line 2: 4.5 .(-1.-6)
line 3: 4.5 .6
line 4: 27
O A. Distributive
O B. Commutative
O C. Associative
O D. Additive Inverse

Answers

Answer:

C associative to associate both of them


A store sells a shirt that is discounted by 10%. A coupon is used for an additional 10% off the discounted price.
What is the total percentage discount on the shirt? PLEASEEEE HELPPPP

Answers

Answer:20%

Step-by-step explanation: 10% because the shirt was already discounted and another 10% from the coupon

Tiffany ate 1/4 of a pizza. If there were 16 slices of pizza to begin with, how many slices did Tiffany eat?​

Answers

Answer:

Tiffany ate 4 slices of pizza

Step-by-step explanation:

1/4 of 16 is 4

Tiffany ate 4 slices of pizza.

What is fraction?

" Fraction is a representation of a part of whole object which is divided into equal parts."

According to the question,

Total number of pizza slices = 16

Part of pizza ate by Tiffany   = 1 / 4

Therefore,

Number of slices Tiffany ate = ( 1/ 4) of 16

                                                = (1 / 4) × 16

                                                = 4 slices of pizza

Hence, Tiffany ate 4 slices of pizza.

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Which statement most reasonably explains the hours when zero calls were received? Medera turned the phone off while playing in a soccer game. Medera's phone can only receive 22 calls a day. Medera only receives calls in clusters. Medera lost her phone for two hours.

Answers

Answer:

Medera turned the phone off while playing in a soccer game.

Step-by-step explanation:

From the possible scenarios provided the one that would indicate this would be when Medera turned the phone off while playing in a soccer game. This is because since her phone was off it was not getting any phone signal which means that no incoming calls would have been received during that time. When Medara lost her phone for two hours, even though she did not have it on her the phone was still on and connected to a network which means that the calls were coming in.

A furniture store buys a couch for $800. They mark up the price by 30%. At what price does the furniture store sell the couch?

A. $240

B.$560

C.$1040

D.$1360

Answers

it would be C, you add 800$ plus 30%

um help again. i’m terrible with math so an answer would really help thxs :)

Answers

Answer:

20

Step-by-step explanation:

skip count by 2

Name a fourth point in plane TUW.

Answers

Answer:

Y

Step-by-step explanation:

i think its Y

How many solutions exist for the given equation?

0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

zero
one
two
infinitely many

Answers

Answer:

its b lol

Step-by-step explanation:

jus got it right

There is only one solution which is x = -370 to the given equation 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20) option B is correct.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

We have a linear equation in one-variable:

0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

0.75(x + 40) = 0.7(x + 20)

75(x + 40) = 70(x + 20)

75x = 70x - 1600

x = -370

Hence, there is only one solution which is x = -370 to the given equation 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20) option B is correct.

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-3 * f(-8) + 7 * g(2)

Answers

Answer:

-2(-12-7 g)

Step-by-step explanation:

hope this helps :)

Find three angles coterminal to an angle of 1 radian

Answers

Answer: Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians. There are an infinite number of coterminal angles that can be found?

Step-by-step explanation:

What to use? Pick two points from the table and
use the slope formula to find the slope.
Example: The table below has a constant rate of
change. Find the slope.
Х
Y
- 1
4
0
6
1
8
2
10
3
12.
4.
14

Answers

Answer:

The slope is 1/2

Step-by-step explanation:

AS seen in the graph I provided you can see that the points are increasing by 1/2

A store sells two types of toys, A and B. One unit of toys A yields a profit
of $2, while a unit of toys B yields a profit of $3. The store owner, Anthony, estimates that no more than 2000 toys will be sold every month. Anthony pays $8 and $14 for each one of toy A and B respectively. He also does not plan to invest more that $25,000 in inventory of these toys. Identify the variables.

x = profit
y = toys

x = Toy A
y = Toy B

x = Toy A
y = profit

x = Toy B
y = Toy A

Answers

Answer:

Step-by-step explanation:

a b

What is the perpendicular slope of the given equation. y=4x-2

Answers

rise-4

run-1
(up 4 over 1)

Select the graphs that show a proportional relationship between x and y.

Answers

is there any graphs that you see in the question? if so put a photo of them so i know what your seeing.

Simplify the following expression. 7^-5/6*7^-7/6

Answers

Answer:2.0068782e-12

Step-by-step explanation:

Figure ABCD is a parallelogram. Is triangle ADB congruent to triangle CBD? Show or explain your reasoning​

Answers

Answer:

yes it's congruent.

Step-by-step explanation:

in a parellelogram, all sides and angles are equal.

ΔADB is congruent to ΔCBD.

The reasoning is given below.

What is a parallelogram?

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

A parallelogram ABCD.

This means,

AD is parallel to BC

AB is parallel to CD

∠A = ∠C

BD is the diagonal of the parallelogram.

Now,

ΔADB and ΔCBD

AB = CD ( given )

∠A = ∠C (given )

∠ADB = ∠CBD ( given )

∠ABD = ∠BDC ( alternate angles )

ΔADB ≈ ΔCBD

Thus,

ΔADB is congruent to ΔCBD.

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HELP HAVING BAD DAY
Find the value of b if the graph of the equation y=−5x+b goes through the G(4, 3) point.

Answers

Answer:

b = 23

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y = -5x + b

G(4, 3)

Step 2: Find y-intercept b

Substitute point: 3 = -5(4) + bMultiply: 3 = -20 + bAdd 20 to both sides: 23 = b

Step 3: Write linear equation

y = -5x + 23

Answer:

The answer is y=-5x+21.5 --- B=21.5

Step-by-step explanation:

Pls Mark Brainliest

Be first to answer! :)

Answers

Answer:

2x + 200 = 6x + 120

Step-by-step explanation:

Super-Clean house cleaning company:  2x + 200

Power Bright: 6x + 120

Now, they have to be equal because we are trying to find the equation for total charges.

So, your equation would be 2x + 200 = 6x + 120.

Hope this helps!

Answer:

Step-by-step explanation:

Let the number of linear feet = x

Let the total cost = y

Condition One

y = 200 + 2x

Condition Two

y = 120 + 6x

Now you want the ys to be the same.

200 + 2x = 120 + 6x

HELP PLEASE!
Find the zeros of the polynomial function and state the multiplicity of each.
f(x) = 3(x + 9)2(x - 93
A) 4, multiplicity 1; -9, multiplicity 3; 9, multiplicity 3
B)4, multiplicity 1; 9, multiplicity 1; -9, multiplicity 1
C)-9, multiplicity 3; 9, multiplicity 2
D)-9, multiplicity 2; 9, multiplicity 3

Answers

The 3 and the 2 are just to throw you off because you can just divide them out so the first zero is -9 because you have to subtract to find x with a multiplicity of 1 since there is no power (the small number) and the second is 93 since you add it to solve for x and multiplicity of 1. Is the second part asking to make an equation for it?

Isaac bought 18 boxes of cereal. This is 30% of the total boxes at the store. How many total boxes of cereal were at the store?

Answers

Answer:

60

Step-by-step explanation:

30% of total boxes at the store is equal to 18

so

[tex](30 \div 100 ) \times x = 18 \\ x = 18 \times( 100 \div 30) = \\ 18 \times (10 \div 3) = \\ 6 \times 10 = 60[/tex]

The 18 boxes of cereal Isaac purchased. This represents 30% of all the boxes in the store then total boxes of cereal at the store exists 60.

What is meant by percentage?

Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. To exstimate a percentage, you divide the portion of the whole by the whole itself and multiply by 100.

%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

The total no of boxes =  y × 100/x

Given x = 30%

y = 18 boxes

Total boxes at the store = 18 × 100/30 = 60

Therefore, the total boxes of cereal at the store exists 60.

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16) Which of the following best represents the
range of the graph below?
A) -3 5 y 38
C) y22
B) y2-3
D) All real numbers

Answers

I think it is B because it has a continuous line soy it couldn’t be a. It has negative numbers so it couldn’t be D. And it has negative numbers so couldn’t be C

7th GRADE WORK!!! ILL BRAINLIST!!!

Answers

Answer:

I think the answer is D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1/20=0.05

12*0.05=3/5

HELP FAST! I need help with this math problem. A, B, C or D?

Answers

Answer:

d

Step-by-step explanation:

GEOMOTRY PLS HELP i got little time left

Answers

Answer:

Hope this solution helps you

what does “ z “ equal in this equation z + 18 = 26

Answers

Answer:8

Step-by-step explanation:

Answer:

z = 8

Step-by-step explanation:

you have to work it backwards. 26-18=8

*How can I find the sum of -5 + 12 using a vertical number line? *
A. Start at 5 and move 12 units down. -5 + 12 = -7
B. Start at 12 and move 5 units up. -5 + 12 = 17
C. Start at 5 and move 12 units up. -5 + 12 = 17
D. Start at -5 and move 12 units up -5 + 12 = 7

Answers

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A plumber charges $55 for service call, plus $35 per hour. If the plumber’s bill was $160 then how many hours was he there

Answers

55 for service call
35 per hour

Total 160

55 + 35 (3)
55 + 105
160

He was there for 3 hours

Answer:

4:50 hour

Step-by-step explanation:

If it only for the hours he was there you will do 35/160 4:50

Its a two step equation x−17/3=−3

Answers

Answer:

x=8/3

hope this is right

A car is traveling at a rate of 10 meters per second in a 20-mile-per-hour speed limit zone.

Answers

22.3694

Step-by-step explanation:

each mps is 2.23694 x 10 = 22.3694

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answers

The slope is -4/3.........
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