Mathematics High School

Use substitution to solve the system of equations.
3 - 5y = 36
22 + y = -16

Answers

Answer 1

Answer:

(-4, -8)

Step-by-step explanation:

x - 5y = 36; 2x + y = -16

first, rearrange the first equation by adding 5y to both sides to isolate x

x = 5y + 36

then plug that in for x in the second equation and solve for y:

2(5y +36) + y = -16 distribute 2 to (5y + 36)

10y + 72 + y = -16 combine like terms by adding 10y and y

11y + 72 = -16 subtract 72 from both sides

11y = -88 divide both sides by 11

y = -8

next, plug y in and solve for x

x - 5(-8) = 36

x + 40 = 36 subtract 40 from both sides

x = -4

finally, check the solution by plugging x and y into both equations to see if they equal the expected value

(-4) - 5(-8) = -1 + 40 = 36 = 36 ✓

2(-4) + (-8) = -8 -8 = -16 = -16 ✓

Related Questions

Pleaseeee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

It’s 6 because the full length is 12 and it’s asking for the half of it

what is the total area of the figure above ?

Answers

Answer:

10*10/2=50

20^2-10^2=100

10*10/2=50

50+50=100

Step-by-step explanation:

how many terms are in this expression 5b+26t-72

Answers

Answer:

3 terms

Step-by-step explanation:

5b+26t-72

Since none of the terms are like terms, we cannot combine them

There are 3 separate terms, 5b, 26t, 72

Which of these numbers lines is the X-axis?

Answers

Answer:

the one going this way -------------------------- not up and down

Step-by-step explanation:

Answer:

Step-by-step explanation:

the one on the right

what does 3(y + 4) = 3y + 12 equal?

Answers

Answer:

15y

Step-by-step explanation:

If you add 3 and 12 together you get 15 and when you get 15 you add in the y

Answer:

Y= - 4/3x + 4

Hope this helps :))

For every $10,000 a company earns, it gives $500 to charity. How much does the company give to charity for every $1 earned?

Answers

Answer:

$0.05 i think

Step-by-step explanation:

Sarah has built a scale model of a bridge. The real bridge is 56 ft across and 21 ft wide. Sarah's model is 8 in. across and
2.5 in. wide. Is Sarah's model a true model of the bridge? Explain.

Answers

Answer:

Well, there are 12 inches ina foot so let's multiply 56 by 12. Now, divide 672 by 8: 672/8 = 84 So, we have 84 which means that if we multiply 84 by 2.5 it should equal however many inches there are in 21, if it is to be a true scale model. It is not equal, so no, it is not a true scale model.

Step-by-step explanation:

HOPE THIS HELPS!!!

BRAINLIEST PLZ???

Answer:

It is not equal, so no, it is not a true scale model.

Step-by-step explanation:

Well, we need to find the ratio of it and see if both measurements of the 'scale' model are the same. But before we do, take in mind we can't divide 56/8 because 56 needs to be converted into inches.

56 • 12 = 672

divide 672 by 8:

672/8 = 84

So, we have 84 which means that if we multiply 84 by 2.5 it should equal however many inches there are in 21, if it is to be a true scale model

21 • 12 = 252

2.5 • 84 = 210

It is not equal, so no, it is not a true scale model.

37 degrees Celsius to Fahrenheit

Answers

98.6 degrees fahrenheit

Answer:

98.6 Fahrenheit

Step-by-step explanation:

Charlotte needs to order some new supplies for the restaurant where she works. The restaurant needs at least 535 glasses. There are currently 321 glasses. If each set on sale contains 20 glasses, write and solve an inequality which can be used to determine s, the number of sets of glasses Charlotte could buy for the restaurant to have enough glasses.

Answers

Answer:

sadafsa a a a a a aa. a heehehwhwhwh hehehheeheheh im going to bed ehehebbebeeb for al jfdjskalsm or worse expelled harry potter

someone give the worked solution for this please!!!!

Answers

Answer:

The scale Myra should use is one graph unit = 400 km or;

←--→ = 400 km

Step-by-step explanation:

The question relates to the representation of scale drawing

The actual distance between Perth and Sydney = 3294 kilometers

The given coordinates of Perth on the grid = (1.3, 3.4)

The given coordinates of Sydney on the grid = (9.2, 3.3)

The measure of the distance between Perth and Sydney, 'd', is given by using the following formula for finding the distance between two points given their 'x', and 'y' coordinates;

[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]

Therefore, by substitution, we have;

[tex]d = \sqrt{\left (9.2-1.3 \right )^{2}+\left (3.3-3.4 \right )^{2}} = \sqrt{\left (7.9 \right )^{2}+\left (-0.1 \right )^{2}} = \dfrac{\sqrt{6242} }{10} \approx 7.9[/tex]

d ≈ 7.9 units

Therefore, we have;

7.9 units of the graph = 3294 kilometers

1 unit of the graph ≈ 3294/7.9 km = 416.962025316 km ≈ 416.96 km

Therefore, the scale Myra should use for her map is 1 unit = 400 km.

Debbie bought x pens. She paid $0.75, including tax, per pen. She gave the cashier $20 and received $8.75 in change. How many pens did Debbie purchase?

Answers

Answer:

Step-by-step explanation:

if she gave 20$ and got 8.75$ in change, she payed 11.25$

11.25$ (total) / 0.75 (per pen)= 15 (pens she bought)

Which are pairs of vertical angles? \
A = ∠COB & ∠COA
B = ∠BOD & ∠AOD
C = ∠COB & ∠AOD
D = ∠AOD & ∠AOC

Answers

Answer:

it is b sorry I tried to work out it best have a nice day

Answer:

Step-by-step explanation:

For what values of x is the expression below defined? x + 3 / 1 - x

Answers

Answer:

Step-by-step explanation:

Answer:

Hello! The answer is -3 ≤ x < 1

Hope this helps :)

Triangle A is the pre-image in a translation, and triangle B is the image, as shown below.

On a coordinate plane, triangle A is shifted 6 units to the right to form triangle B.

How was triangle A translated?
four units left
four units right
six units left
six units right

Answers

Answer: D is correct

Step-by-step explanation: Got a 100% on my test

The translation of triangle A is (d) six units right

The translation from triangle A to B

Translation involves changing the position of a shape

From the question, we understand that:

Triangle A represents the pre-imageTriangle A is shifted to the right by 6 units

This means that, triangle A was translated by 6 units to the right

Hence, the true statement is (d)

Answers

Answer:

$45

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

For a walk-a-thon a sponsor committed to give you a flat fee of $5 plus $2 for every mile you walk. If you walk for 20 miles, what is the total amount you will collect from your sponsor at the end of the walk-a-thon?

$5 was given for participants of the walk-a-thon.

$2 was given for every miles won

Then, for "y" number of miles, the the amount that can be won is ( 2×y)= 2y

The Total amount that can be given

= (5 + 2y)

Where "y" is the miles value

Then, if you walk for 20 miles, The Total amount that can be given

= 5 + 2(20)

= 5+ 40

= $45

Liz and Rick are squeezing lemons for a lemonade stand. Liz squeezed 18 lemons in 6 minutes. Rick squeezed 24 lemons in 12 minutes. Who squeezed lemons at a faster pace?

A)liz
B)Rick

this is Compare rates: word problems please show and explain the work show WORK

Answers

Liz squeezed lemons faster. Liz squeezed 18 lemons in 6 minutes. To find out how many she squeezed in a minute, you would do 18 / 6, which gives you three. Rick squeezed 24 lemons in 12 minutes. To find out how many lemons he squeezed in a minute, you would do 24/12, which gives you 2. So, Liz squeezed 3 lemons per minute while Rick squeezed 2 lemons per minute.

Find 39.5% of 373. Round to the nearest hundredth

Answers

39.5% of 373. is 147.336

Does anyone know this?

Answers

Answer:

Step-by-step explanation:

(2*5) - 2 = 8

May Nilbin Be With You

can somebody answer it for me please. simplify and it can only contain positive exponent.

Answers

Answer:

1/2m^12

Step-by-step explanation:

simplify the expression :

m^-6/2m^3 x m^3

1/2m^9 x m^3

solution: 1/2m^12

sorry its really hard to explain the steps but I hope I helped you :)

Answer:

[tex]\frac{1 }{2m} ^x{12}[/tex]

Step-by-step explanation:

just take away the X

Find two fractions, when multiplied together make 3/4

Answers

Step-by-step explanation:

9/12 if we divided by 3

6/8 if we divided by 2

hope it helps u

The two fractions when multiplied together make 3/4 are, 1/2 and 3/2.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

The first fraction can be 1/2 when multiplied by the second fraction 3/2.

Therefore,

The two fractions, when multiplied together make 3/4 is (1/2)×(3/2).

= 3/4.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

Rectangle LMNO is reflected over the x-axis to create rectangle L'M'N'O'. If a line segment is drawn from point M to point M', which statement would best describe the relationship between segment M M prime and the x-axis?

Answers

Answer:

They are perpendicular to each other.

Step-by-step explanation:

It is given that there is a rectangle LMNO and this rectangle is reflected over x axis and the create a new rectangle L'M'N'O'.

Now if a straight line segment is drawn joining the point M to the point M', they will form perpendicular to each other. Thus The relationship between the line segment M-M' and the x axis is perpendicularity.

Answer: C they are perpendicular to each other

Step-by-step explanation:

I took the test and got C

Elisa puts $1,000 into each of 2 bank accounts.
Account A: 3% interest rate, compounded annually, which is
growth
Account B: $40 bonus added to the account each year, which is
growth

Answers

Answer:

exponential

linear

$1092.73

$1120

account b

account a

Step-by-step explanation:

on the test now.

HELP PLEASE I'll mark you brainliest
What problem did Americans face at home as the War of 1812 developed on the seas?
a shortage of American goods
strained relations with American Indians
challenges of settling untamed lands
a divided government

Answers

The answer is the first one . A

The correct answer is A

Evaluate the expression 9.3^1

Answers

Answer:

9.3

Step-by-step explanation:

The following graphs are transformations of f(x) = x^2.

Complete the boxes below to describe the transformations.

A(x) = f (x + _) + _
B(x) = f (x + _) + _
C(x) = f (x + _) + _
D(x) = f (x + _) + _

Answers

Step-by-step explanation:

Let's look at A(x) and see how it is different from f(x)

it is shifted downwards by 8 unitsit is not shifted to the left or the right

Therefore A(x) = f(x) - 8

Let's look at B(x) and see how it is different from f(x)

it is not shifted downwards or upwardsit is shifted to the left 7 units

Therefore B(x) = f(x + 7)

Let's look at C(x) and see how it is different from f(x)

it is shifted upwards by 4 unitsit is shifted to right by 5 units

Therefore C(x) = f(x - 5) + 4

Let's look at D(x) and see how it is different from f(x)

it is not shifted downwards or upwardsit is not shifted to right by 12 units

Therefore D(x) = f(x - 12)

Which system of inequalities has no solution?

Answers

Answer:

i think c

Step-by-step explanation:

Translations, reflections, and rotations produce a figure that is ______ to the original figure.

Answers

Answer:

Congruent.

Step-by-step explanation:

(4X + 7) X [5(X - 40)]

Answers

Answer:

4X + 7) =[5(X - 4)]{vertically opposite angle}

4x+7=5x-20

5x-4x=7+20

x=27

-11r + 88 = 77
Solve for r

Answers

Answer:

r=1

Step-by-step explanation:

77 - 88 = -11

-11/-11 = 1

B
27 m
24 m
18 m
List angles largest to smallest

Answers

Answer:27,24,18

Step-by-step explanation:

sorry if it’s wrong but I think so

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Use substitution to solve the system of equations. 3 - 5y = 36 22 + y = -16

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Use substitution to solve the system of equations.
3 - 5y = 36
22 + y = -16