Solving systems of equations using substitution x=3y+10. x=y+2

Answers

Answer 1

Answer:

x=-2, y=-4. (-2, -4).

Step-by-step explanation:

x=3y+10

x=y+2

----------

3y+10=y+2

3y-y=2-10

2y=-8

y=-8/2

y=-4

x=-4+2=-2


Related Questions

Determine the equation of a line that passes through the point (3,-2) and is PERPENDICULAR to the equation
y= 3x - 1

Answers

y= -1/3x + 5

If the line is perpendicular, it means the slope is negative reciprocal of 3, which is -1/3.

Equation where b (y-intercept) is unknown:
y= -1/3x + b

Replace x with 3 and y with -2 since the line passes through those points.

-2= -1/3(3) + b
-2= -3 + b

Add 3 to both sides of the equation:
1=b, the y-intercept is 1.

The full equation:
y = -1/3x + 1

help please
working too please!!!!.?​

Answers

Step-by-step explanation:

(1) 4mn × 6mp × 3mnp

= 4 × 6 × 3 ( mn × mp × mnp)

= 72 × (m³n²p²)

72m³n²p²

sorry, I'm busy, won't be able to complete it

15x^2 + 41x + 28

STEP BY STEP ANSWER PLSSS​

Answers

Answer:

(3x+4)(5x+7)

Step-by-step explanation:

15x^2 +41x+28

Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.

a+b=41

ab=15×28=420

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.

1,420

2,210

3,140

4,105

5,84

6,70

7,60

10,42

12,35

14,30

15,28

20,21

Calculate the sum for each pair.

1+420=421

2+210=212

3+140=143

4+105=109

5+84=89

6+70=76

7+60=67

10+42=52

12+35=47

14+30=44

15+28=43

20+21=41

The solution is the pair that gives sum 41.

a=20

b=21

Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).

(15x^2 +20x)+(21x+28)

Factor out 5x in the first and 7 in the second group.

5x(3x+4)+7(3x+4)

Factor out common term 3x+4 by using distributive property.

(3x+4)(5x+7)

Answer:

253+41x

Step-by-step explanation:

first evaluate the power of 15

then add the number 225+28

then the answer will be 253+41x

x(3x - 5) please and 5x(x - 3y) urgent !

Answers

Answer: 3x^2-5x

5x^2-15xy

Step-by-step explanation:

Answer:

3x² - 5x & 5x² - 15 xy

Step-by-step explanation:

1) x(3x - 5)

x × 3x - x × 5 (take the brackets out)

3x² - 5x.

2) 5x (x - 3y)

5x × x - 5x × 3y (take the brackets out)

5x² - 15 xy

simply the following: (2+5i)^2 - (2+i)​

Answers

Answer:

- 23 + 19i

Step-by-step explanation:

[tex](2 + 5i)^{2} - (2 + i) \\ \\ = {2}^{2} + {(5i)}^{2} + 2.2.5i - 2 - i \\ \\ = 4 + 25 {i}^{2} + 20i - 2 - i \\ \\ = 4 - 25 + 20i - 2 - i \\ ( \because \: {i}^{2} = - 1) \\ \\ 4 - 25 - 2 + 20i - i \\ \\ = - 23 + 19i[/tex]

Use a percent proportion to find 25% of 350.

Answers

Answer:

7.142857143 or

[tex] \frac{50}{7} [/tex]

Step-by-step explanation:

100 ÷ 350 = .2857142857

.2857142857 × 25 = 7.142857143

Lena has two coupons for shoes.
Coupon A: 30% off of $63 shoes
Coupon B: S22 rebate on $63 shoes
Choose the coupon that gives the lower price,
Then fill in the blank with the correct value.

Answers

Your answer is A because 30 percent off of $63 is 18 converse to 22 rebate coupons

Approximately 0.02 Love north Atlantic lobsters are born blue color out of 5000 Atlantic lobsters how many would you expect to be in blue color

Answers

Answer:  100 blue Atlantic lobsters

Step-by-step explanation:

Approximately 0.02 Atlantic lobsters are born blue.

0.02 in percentages is 2%.

Out of 5,000 Atlantic lobsters therefore, 2% will be born blue.

The number of blue lobsters expected is:

= 5,000 * 2%

= 100 blue Atlantic lobsters

You spin a spinner that is equally divided into 7 parts. 2 parts white, 2 parts are speckled, and 3 parts are blue.

what are the odds against the spinner stopping at a blue section?

(Answer is a fraction)

Answers

Answer:

3/7

Step-by-step explanation:

you are gonna add all the parts together which is seven and because three parts are blue chances are that it might stop at blue three times out of seven

what is 28/10 as a proper fraction​

Answers

Answer:

Step-by-step explanation:

28/10 as a proper fraction.

28/10 is an improper fraction so you have to turn it into a proper fraction.

To do this divide the numerator (top figure) by 10 (the denominator) which equals 2.8 so to put it as a proper fraction you look at the whole number in 2.8 which is the 2 and keep the number after the decimal point as a fraction over the 10.

The answer would be 2 8/10

???????????????????????????

Answers

Answer:1/3

Step-by-step explanation:

Put these in descending order
-6/7,|8-9|,-|-6|

Answers

Answer:

-6/7,1,-6

1, -6/7, -6

Step-by-step explanation:

Determine the domain of the following graph:
Help

Answers

Answer:

Domain: (-3, 7)

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)Interval Notation - [a, b] is inclusive, (a, b) is exclusive

Step-by-step explanation:

According to the graph, our x-values span from -3 to 7. Since both are open dot, they are exclusive from the domain:

Interval Notation (-3, 7)

Inequality Notation -3 < x < 7

Can you please solve this

Answers

Step-by-step explanation:

To get the x intercepts you need to set y = 0.

So you will get:

[tex]x^{2}[/tex] - 4x - 12 = 0

which can then be put in the form of:

(x - 6) (x + 2) = 0

The x intercepts are: (6,0) and (-2,0).

For the vertex you would need to convert the equation to vertex form.

which is : y = a[tex](x-h)^{2}[/tex] =k

[tex]x^{2}[/tex] - 4x - 12 = y

turn it in to square form:

([tex]x^{2}[/tex] - 4x + 4) - 12 - 4 = y

[tex](x-2)^{2}[/tex] - 16 = y

so the vertex is = (2, -16)

Would it be a
B
C
Or d

Answers

Answer:

bb bb bb bb bb BB BBB bb BB BBB

Answer:

b

a>-21 ⅓

Step-by-step explanation:

the second one.

simplify 3a x 4, thank youuuu

Answers

Answer:

12a

3 x 4 =12a

The volume of a cone is 300 cubic
centimeters. A cylinder has the same radius
and height as the cone. What is the volume
of the cylinder?

Answers

The volume of the cylinder would be 900

Can anyone help?

If arcLM = 8x-56 and arcNP = 5x+22, find arcLP.

Answers

Answer:

arcLP = 19

Step-by-step explanation:

Given the following

arcLM = 8x-56

arcNP = 5x+22

Required

arcLP

Given that arcLM = arcNP

8x-56 = 5x+22

8x - 5x  = 22 + 56

3x = 78

x = 78/3

x = 26

Let assume arcLP = x - 7

arcLP = 26 -7

arcLP = 19

Simplify the expression:
6(2x+4)
————-
3

Answers

Answer:

4x + 8

Step-by-step explanation:

first divide 6 by 3 to get 2:

2(2x+4)

then multiply the 2 with the 2x and 4:

2(2x+4) = 4x + 8

Answer:

Step-by-step explanation:

to simplify you need to divide by 3 first

6(2x+4)/3=2(2x+4)

=4x+8

LuAnn is playing a math game. She chooses three cards. The value of each of her cards is shown. First card: -12, Second card: 3, Thirds card: -5. What is the sum of the values of LuAnn's three cards?

Answers

Answer: -14

Step-by-step explanation:


What is the measurement of ABC?

Answers

Answer:

118°

Step-by-step explanation:

because 28 + 90 = 118

IF m power n is equal to 32 wher m and n are natural numbers then find the value of n power m​

Answers

Answer:

[tex]n^m = 5^2[/tex]

Step-by-step explanation:

Given

[tex]m^n = 32[/tex]

Required

Find [tex]n^m[/tex]

[tex]m^n = 32[/tex]

Express 32 as an exponent

[tex]m^n = 2^5[/tex]

By comparison:

[tex]m = 2[/tex]

[tex]n = 5[/tex]

So:

[tex]n^m = 5^2[/tex]

please help me guys please​

Answers

Step-by-step explanation:

If you need any explanation you can communicate with me

A triangle with sides 6, 12, and 18 is similar to another triangle whose longest side is 24. What is the perimeter of the larger triangle?

Answers

Answer:

Possibly 48 because perimeter I believe is found by adding all sides up sorry if I'm wrong friend. -Your friend, Cipher

Step-by-step explanation:

Aubrey worked at the concession stand during a recent sporting event at her high school. During the first hour of the event, she sold 11 orders of nachos and 18 tacos for a total of 64.95 . During the second hour, she sold 6 orders of nachos and tacos 15 for a total of 43.20.

Answers

Answer:

cost of nachos = $3.45

Cost of tacos = $1.5

Step-by-step explanation:

Let

x = cost of nachos

y = cost of tacos

11x + 18y = 64.95 (1)

6x + 15y = 43.20 (2)

Multiply (1) by 6 and (2) by 11 to eliminate x

66x + 108y = 389.70

66x + 165y = 475.20

Subtract to eliminate x

165y - 108y = 475.20 - 389.70

57y = 85.50

y = 85.50/57

y = 1.5

Substitute y = 1.5 to find x

11x + 18y = 64.95 (1)

11x + 18(1.5) = 64.95

11x + 27 = 64.95

11x = 64.95 - 27

11x = 37.95

x = 37.95/11

x = 3.45

cost of nachos = $3.45

Cost of tacos = $1.5

sam has 4 balls and jose has 6 if sam gives jose 1 of her balls how many does shee have

Answers

Answer:

sam has 3 balls left

Step-by-step explanation:

Answer: she has 3 left

Step-by-step explanation:

Please help! I have no clue how to do this problem. Any help would be appreciated:)

Answers

Answer:

13

Step-by-step explanation:

180-96=84

(4x-10)+(4x-10)= 84

X=13

Taut learns that when she spends $65.00 on supplies she is able to grow 162.5 pounds of tomatoes. How many dollars is Taut spending per pound of tomatoes grown?

Answers

Answer: $0.4 is spent by Taut  per pound of tomatoes grown

Step-by-step explanation:

Given : On spending $65.00 , tomatoes grown by Taut = 162.5 pounds

To find :  Taut expenditure per pound of tomatoes grown = ?

As it is given that :

162.5 pounds of tomatoes are grown by spending = $65.00

Thus 1 pound of tomatoes are grown by spending = [tex]\frac{65.00}{162.5}\times 1=0.4[/tex]

Thus $0.4 is spent by Taut per pound of tomatoes grown

Write > or < to make each statement true

1.) 9 ____ -11
2.) 17 ____ 23
3.) 8 ____ -8
4.) -32 ____ 4
5.) -10 ____ -12

help help help​

Answers

Answer:

1)>

2)<

3)>

4)<

5)>

Step-by-step explanation:

Answer:

[tex]9 > - 11 \\ 17 < 23 \\ 8 > - 8 \\ - 32 < 4 \\ - 10 > - 12 [/tex]

Hayley picked 2/3 of a pound of

berries. She divided them

evenly among 3 containers.

How many pounds of berries

did Hayley put in each

container?

Answers

the answer the this is 0.23 pounds per container
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