7x-15y=2 , x+2y=3 By subtition method​

Answers

Answer 1

Answer:

([tex]\frac{49}{29},\frac{19}{29}[/tex])

Explanation:

7x - 15y = 2  (1)

x + 2y = 3 (2)

x + 2y = 3

x + 2y - 2y = 3 - 2y

x = 3 - 2y  (3)

Substitute (3) to (1)

7x - 15y = 2

7(3 - 2y) - 15y = 2

21 - 14y -15y = 2

21 - 21 - 29y = 2 - 21

-29y = -19

y = [tex]\frac{19}{29}[/tex]  (4)

Plug (4) into (2)

x + 2y = 3

x + 2[tex]\frac{19}{29}[/tex] = 3

x + [tex]\frac{38}{29}[/tex] = 3

x = 3 - [tex]\frac{38}{29}[/tex]

[tex]x = \frac{87}{29}-\frac{38}{29} =\frac{49}{29}[/tex]

([tex]\frac{49}{29},\frac{19}{29}[/tex])


Related Questions

Someone plz help me :(

Answers

Answer:

B) 7 - 5x

Step-by-step explanation:

7 - 5x is the difference between the number 7 and the product of 5 and 'x'

I think the Answear is B

cos135° =

A.√2/2
B.-√2/2
C.-1/2

Answers

we have cos135° = -√2/2

so B is the correct answer

ok done. Thank to me :>

Translate the sentence into an inequality.
A number w increased by 4 is greater than or equal to - 23.

Answers

Answer:

w + 4  ≥  -23

Step-by-step explanation:

"a number w": w

"increased by 4": + 4

"is greater than or equal to":  ≥

"-23": -23

Put the parts of the equation together:

w + 4  ≥  -23

~

Answer: (x + 4) ≥ -23

Denise is buying four birthday cards for $11.16. Sales tax on the four cards is $0.68. Including sales tax, what is the cost of each card?

Answers

Answer:

$11.16 - $0.68 = $10.48 - price of four cards without tax

$10.48 : 4 = $2.62 - price of one card without tax

Cheers!

Answer:

the cost of each card including sales tax is 2.79

the cost of each card without sales tax is

11.16-0.68=10.48

10.48÷4=2.62

Step-by-step explanation:

there are 364 people in town for a conference. They have to go from the airport to the hotel and travel 12 people in a van. How many vans are needed?

Answers

Total number of people = 364

Number of people in 1 van = 12

Number of vans required = ?

Number of vans required = 364 / 12

= 30.33

But there's a remainder, so for the remaining few people to go you'll need an extra van. So, you need 31 vans.

=》Answer = option C. 31

______

RainbowSalt2222 ☔

i need help: solve (4x^(6))^((3)/(2))

Answers

Answer:

(4x^{(6)})^{(\frac{(3)}{(2)})}

(4x(6))((2)(3))

Step-by-step explanation:

I think that's the answer

Does anyone get this?

Answers

Dilation is the transformation that changes the size of a shape.

4 is a positive number so the shape will increase in size.

So after dilating every side by 4:

0,1

-0.5,0

1,0

We get

0,4

-2,0

4,0

blank as 9 hundred is 9 thousand​

Answers

Answer:

x = 10

Step-by-step explanation:

x × 900 = 9000

=> 900x = 9000

=> x = 10

How would you write the quotient with a simplified fraction as a remainder?

Answers

Answer:

The answer is B) 851 ÷ 46 = [tex]18 \frac{1}{2}[/tex]

Step-by-step explanation:

851 ÷ 46 = 18.5

[tex]18 \frac{1}{2}[/tex] = 18.5

18.5 = 18.5

Since both are the same result that means that option B is the correct answer.

Brandon has 32 stamps. He wants to display the in rows, with the same number of stamps in each row. how many different ways can he display the stamps? explain.

Answers

Answer:

You can put the stamps in three rows of 8 since 8 times 3 equal 32

Step-by-step explanation:

Hope it helps

How do you solve for x

3x^2 = -24x

Answers

[tex]3x^2 = -24x \\\\\implies 3x^2 +24x =0\\\\\implies x^2 +8x = 0\\\\\implies x(x+8) =0\\\\\implies x =0~~ \text{or}~~ x = -8[/tex]

Step-by-step explanation:

3x² = -24x

Divide through by x

3x = -24

x = -24/3

x = -8

6. What is the percent of increase from 10 to
12?
A. 20%
B. 25%
C. 30%
D. 33
33%

Answers

Answer:

A. 20%

Step-by-step explanation:

% Increase = 12−10/10x100

= 2/10x100

= 20%

Mark me as brilliant

Answer
A. 20%
Explanation: I bet u get it right

Using the slope and the y-intercept, graph the line represented by the following equation. Then identify the figure
showing that graph.
2x-y+4=0

Answers

the answer is 2x-y=-4

+3 - (+7)
Can someone help pls!?​

Answers

Answer:

Step-by-step explanation:

+3 - (+ 7) = 3 + (-7) = -4

Both integers have different sign. So, subtract and  the result will have the sign of bigger number. Here bigger number is 7 and sign of 7 is (-). So, answer will be (-4)

solve pls brainliest

Answers

Answer:

$18.15

Step-by-step explanation:

45% of $33 = $14.85

$33 - $14.85 = $18.15

two one dollar bills are exchanged for 14 coins all of which are either quarters or dimes. how many dimes were in the exchange​

Answers

10 dimes

The $2 are exchanged for 10 dimes and 4 quarters, which make 14 coins total.

Select all of the given points in the coordinate plane that lie on the graph of the linear equation $$.

Answers

70.00 is the correct answer

please help me in question 31 only please and i’ll mark the correct answer as brainliest i promise

Answers

With 9 large eggs, they already weigh 18 ounces, so I’m not sure what the question means.

The equation should be 1.75x + 2y = 18.

If the question means how many combinations of eggs to make 18 ounces, then only 7 large eggs and 8 medium eggs or 9 large eggs satisfy the equation.

x = 8, y = 7 or x = 0, y = 9.

Mrs. Letting brought 40 cookies to school. Mrs. Letting's class ate 1/2 of the cookies and Mrs. Kim's class ate 1/4 of the cookies. How many cookies are left?

Answers

There are 10 cookies left.

Explanation:
There were 40 cookies to start with. If Mrs. Lettings class at 1/2 of the cookies, there are now 20 cookies left. Mrs Kim’s class then ate 1/4, because 1/4 of 40 is 10, then they ate 10 cookies. So there are now 10 cookies left

The bag of potato chips has 25% more in the new package. the original package had 14 ounces. how many ounces are in the new bags?​

Answers

Answer:

17.5 Ounces

Step-by-step explanation:

14/100=.14                 .14x25=3.5              14+3.5=17.5

A limousine cost 75,000 new but deprecates at rate of 23% per year what is the value of the limousine after five years

Answers

Answer:

$20,300.88

Step-by-step explanation:

First Year : 75,000x(1-23%)

Second Year: 75,000x(1-23%)x(1-23%)

=75,000x(1-23%)^2

Third Year : 75,000x(1-23%)x(1-23%)x(1-23%)

=75,000x(1-23%)^3

x Year : 75,000x(1-23%)^x              (Analogical Reasoning)

Hence : Fifth year:75,000x(1-23%)^5 = 75000x(0.77)^5

23%=0.23 1-23%=1-0.23=0.77

Therefore Fifth Year: 75000x(0.77)^5=$20300.88

Select the two values of x that are roots of this equation.
x² + 2x - 4 = 0
O A. x= -1 - 15
B. x= -1+5
C. X=-1-215
D. x = -1+2-15

Answers

Answer:B and c

Step-by-step explanation:

find x.
please i need help!!

Answers

Step-by-step explanation:

sin45°=x/4√2

=> 1/√2 = x/4√2

=> x= 4√2/√2

=>x= 4.

hope this helps you.

The question is an illustration of right-angled triangles

The value of x is (b) 4

To calculate the value of x, we make use of the following sine ratio

[tex]\sin(45) = \frac{x}{4\sqrt 2}[/tex]

Multiply both sides of the equation by [tex]4\sqrt 2[/tex], to make x the subject of the formula

[tex]x = \sin(45) \times 4\sqrt 2[/tex]

Evaluate sin(45)

[tex]x = \frac{1}{\sqrt 2} \times 4\sqrt 2[/tex]

Cancel out the common factors

[tex]x = 4[/tex]

Hence, the value of x is (b) 4

Read more about right-angled triangles at:

https://brainly.com/question/16195823

Translate the sentence into an equation four more than six times a number is 11

Answers

6x+4=11

(x is "a number")

PLEASE EXPLAIN THE WORK WHEN YOU ANSWER FOR ME PLEASE


solve each equation:

1: |b-6|=1

2:|b+2|=7

Answers

Answer:

Step-by-step explanation:

theres 2 possible solutions for each equation and each one is right

or for dummies, just reverse the +/- inside the l x +/- y l. and make 2 different equations the first with a + and the second with a -

1. lb-6l = 1

b - 6 = 1

b = 7

-----------

b + 6 = 1

b = -5

--------------

2. lb+2l=7

b + 2 = 7

b = 5

--------------

b - 2  = 7

b = 9

---------------

Pls Solve

Due today
For a grade

First will be Brainliest!

Answers

What do you mean there is no question?

Solve for Z:

4 > 5Z + 34
help me

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:  

Z  < − 6

Interval Notation:

( − ∞ , − 6 )

Step-by-step explanation:

I actually don’t understand this can someone please help?

Answers

Answer:

It's proportional when you have a straight line that goes through the origin, meaning (0,0), meaning x = 0 and y = 0, meaning: when x = 0, then y has to be = 0 too! That's obviously not the case here. You can see that the line hit the y axis way above 0. So this graph is not directly proportional to x.

Step-by-step explanation:

A butcher makes meatloaf by mixing hamburger which sells for a $1.89/lb and sausage which sells for $2.99/lb how many pounds of each should be used if he makes 30 lb of mix and sell it for $2.33/lb

Answers

Answer:

12 and 18

Step-by-step explanation:

On Tuesday, a restaurant serves iced tea to 24 of its 160 customers. What percent of the customers order iced tea

Answers

Answer:

15%

Step-by-step explanation:

24/160 = 0.15

0.15*100 = 15

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