What is the solution to this system of linear equations?
x - 3y = -2
x + 3y = 16


O 1.3
O (3.7)
O2-3)
O (-3,-2)

Answers

Answer 1

Answer:

(3,7)

Step-by-step explanation:

x-3y=-2 -----equation i

x+3y=16-----equation ii

Subtract the two equations from each other

-6y=-18

-6y/-6=-18/-6

y=3

Substitute for x in equation i

x-3(3)=-2

x-9=-2

x=-2+9

x=7

x=7,y=3

Answer 2

Answer:

X is 7, and Y is 3.

Step-by-step explanation:

Step 1: Add 3y to both sides

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

x = 3y - 2

Step 2: Substitute 3y - 2 for x in x + 3y = 16

x + 3y = 16

3y - 2 + 3y = 16

Step 3: Simplify both sides of equation

6y - 2 = 16

Step 4: Add 2 to both sides

6y - 2 + 2 = 16 + 2

6y = 18

Step 5: Divide both sides by 6

6y/6 = 18/6

y = 3

Step 6: Substitute 3 for y in x - 3y = -2

x - 3(3) = -2

Step 7: Multiply 3 by 3 for 9

x - 9 = 2

Step 8: Switch sides!

x = 9 - 2

Step 9: Subtract 9 minus 2 to get 7

x = 7

With that we have our final answers: x = 7, and y = 3.


Related Questions

HURRY PLEASE URGENT!!! WILL MARK BRANLIEST!!!
Find The Surface Area

Answers

So the surface area would be 2880yd
Side 1 + Side 2 + Side 3 +Side 4 + Side 5
= ((12 * 16)/2) + ((12 * 16)/2) + (20 * 15) + (12 * 15) + (16 * 15)
= 96 + 96 + 300 + 180 + 240
= 912 yards squared.

Which of the following statements about JK and JL is true? 13 12 10 5 L(7.4) K(-4,2) 2 J(2, 1) 1 2 3 4 5 6 7 -7-6-5-4-3-2-1 O A. JL is longer than JK. O B. JK is 7 units long. O C. JK and JL are the same length. D. JK is longer than JL.​

Answers

Answer:

I think It´s C

Step-by-step explanation:

will give brainliest to first

Answers

Answer:

Step-by-step explanation:

This is estimated, so I would draw a line-of-best-fit.

You need a point with a Y of 1800, so it would be located around halfway the two upper-points

It looks to be about 10C, but I'm in USA so I use bad Fahrenheit D:

4,11,18
what is the 109th value of this sequence ?

Answers

Answer:

109th value is 760

Step-by-step explanation:

the nth term rule is 7n-3

7×109=763

763-3=760

What is the solution to the inequality?
12 < 8 + x

A. X> 4

B. x < 20

C. x<4

D. x>20

Answers

Answer:

[tex]12 < 8 + x \\ 12 - 8 < x \\ 4 < x \\ \boxed{ x > 4}✓[/tex]

A. x>4 is the right answer.

A bakery sold 119 chocolate cupcakes in a day, which was 35% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?

Answers

Answer: Bakery sold 340 cupcakes

Step-by-step explanation:

119 ÷ 35% × 100% = 340

factories:
x(x+1)-y(y+1)​

Answers

Answer:

[tex](x - y)(x + y + 1)[/tex]

Step-by-step explanation:

[tex]x(x + 1) - y(y + 1)[/tex]

[tex]=> x^{2} + x - y^{2} - y[/tex]

Lets re-arrange it.

[tex]=> x^{2} - y^{2} + x - y[/tex]

Now , lets expand x² - y².

[tex]=> (x + y)(x - y) + (x - y)[/tex]

Taking ( x - y ) common ,

[tex]=> (x - y)(x + y + 1)[/tex]

Answer:

[tex]x(x + 1) - y(y + 1) \\ → {x}^{2} + x - {y}^{2} - y \\→( {x}^{2}- {y}^{2}) + (x - y) \\→ (x - y)(x + y) + (x - y) \\→ \boxed{ (x - y)(x + y + 1)}✓[/tex]

(x-y)(x+y+1) is the right answer.

Yay! Keisha read the entire book in a week has 14x^2 + 12x -3 pages in all, how many pages did she read during the rest of the week?

Answers

Answer:

huuh

Step-by-step explanation:

Calculate the slope of the line.Please help!!

Answers

the slope is 2/3 you’re welcome :)

Can you Solve this plzzz nerd ur help

6÷2(1+2)=​

Answers

Answer:

9

Step-by-step explanation:

(do 1+2 first) then (6 divided by 2) then 3x3 and you will get 9

Which rule describes the x-coordinates in the translation below?.
6
3
2
---
B.
-5 -3 -
2 3 4 5
X
-4
5
B
C

Answers

It is c and b there is two answer and they both agree with each other

4 of 4
The ratio of money in Brian's wallet to Colin's wallet one day was 7:2.
Brian spent £39 that day.
Brian now had £4 less than Colin.
How much did they initially have altogether?

Answers

Answer:

£30

Step-by-step explanation:

Let Brian initially had money in his wallet = £x

and Colin had the money = £y

Since ratio of money in Brian's wallet to Colin's wallet was 5 : 1

Therefore,  

⇒ x = 5y -------(1)

Brian spent £27 that day, so money left with him = £(x - 27)

After spending the money Brian had £3 less than Colin.

(x - 27) = (y - 3)

x = y + 27 - 3

x = y + 24 -------(2)

Now we equate the equations (1) and (2) for the value of x,

5y = y + 24

5y - y = 24

4y = 24

y = £6

From equation (2),

x = 6 + 24

x = £30

Therefore, Brian initially had £30.

i hope this helps

How many triangles can be drawn with side lengths 3, 5, and 9?

Answers

Answer:

no triangle

Step-by-step explanation:

SOLUTION: No; . The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Find the slope of the following graph.

a) -1/8
b) 1/8
c) -8

Answers

-1/8, solve by plotting 2 points and dividing rise by run

what does this equal​

Answers

Answer:

A

Step-by-step explanation:

5^6 * 5^5 = 5^11

Answer would be B, 5 to the 13th power or 5^13

Angela purchased a storage cube with a volume of 10 cubic feet. She wants to put it on a shelf that is 24 inches tall.

A.
Yes, because the height of the cube is approximately 4.93 inches.

B.
Yes, because the height of the cube is approximately 2.15 inches.

C.
No, because the height of the cube is approximately 25.85 inches.

D.
No, because the height of the cube is approximately 39.96 inches.

Answers

Answer:

c

Step-by-step explanation:

10 cubic feets volume is equivilant o 25.85 inches.

No, because the height of the cube is approximately 25.85 inches. Option C is correct.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing. A cube's volume can be calculated using its side cube.

Given that, Angela bought a storage unit with a 10 cubic foot capacity. It will go on a shelf that is 24 inches tall,

Volume, V = 10 cubic feet

Height, h =24 inches

The volume of a cube is found as the cube of the side.

Volume of cube = side³

V=a³

10=a³

Take a cube root of 10 to find the value of a,

a=2.15 feet

We can convert feet into inches, in one foot there are 12 inches.

1 feet = 12 inches

2.15 feet = 2.15 × 12

2.15 feet = 25.85 inches

Thus, no because the height of the cube is approximately 25.85 inches. Option C is correct.

Learn more about the volume here:

https://brainly.com/question/16788902

#SPJ2

Which of the following shows -7(4 + y) rewritten using the Distributive
Property?
0 -35y
O -11 -7y
O -28 - 7y
-28 + 7y

Answers

The third choice is answer

What is the equation of the graphed line written in
standard form?
x= -3
y= -3
x + y= -3
x-y= -3

Answers

Answer: x-y= -3.... I'm just here to help so I don't know if its the right answer but if it is let me know.

Step-by-step explanation:

Lanya's house is located at (2 2/3, 7 1/3) on a map. The store where she works is located at (-1 1/3, 7 1/3). what is the distance from Lanya's home to the store?

Answers

Answer:

Option A: 4 units is the correct answer.

Step-by-step explanation:

Given that:

Layana's house is located at ([tex]2\frac{2}{3}, 7\frac{1}{3}[/tex])

Store is located at ([tex]-1\frac{1}{3},7\frac{1}3}[/tex])

We can find distance between two points by using distance formula.

S = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

The points can also be written as;

House (8/3, 22/3)

Store (-4/3, 22/3)

Putting values in the formula.

S = [tex]\sqrt{\frac{8}{3}-(-\frac{4}{3}))^2+(\frac{22}{3}-\frac{22}{3})^2[/tex]

S = [tex]\sqrt(\frac{8}{3}+\frac{4}{3}+0[/tex]

S = [tex]\sqrt{(\frac{8+4}{3})^2[/tex]

S = [tex]\sqrt{(\frac{12}{4})^2[/tex]

S = [tex]\sqrt{(4)^2[/tex]

S = 4 units

Hence,

Option A: 4 units is the correct answer.

Which describes the slope of the line in the graph?
A)
zero
B)
positive
C)
negative
D)
undefined

Answers

Answer:

3

Step-by-step explanation:

Answer: A
The slope of the line is zero

I don’t understand this please help

Answers

Answer:

Step-by-step explanation:

I would love to answer you but there are no questions.

What is the elapsed time between the two times shown on the clocks?

3 hours and 30 minutes
4 hours and 15 minutes
3 hours and 45 minutes
3 hours

Answers

3 hours and 45 minutes

Answer:

3 hours and 45 minutes is the answer.

4.28 ounces - 4.82 ounces-2.85 ounces

Answers

Answer:

-3.39 is your answer

Step-by-step explanation:

-4(3k-6)-4k = -8k+24-4k
can yall solve this plz I want to go to sleep but my mom won't let me until I get my homework done

Answers

Answer:

0 (undefined)

Step-by-step explanation:

distribute on the left side first:

-4(3k-6)-4k

so -12k+24-4k

combine like terms

-16k+24

now the right side

-8k+24-4k

combine like terms

-12k+24

so it'll look like this

-16k+24=-12k+24

add -12k to the left

-4k+24=24

so then subtract 24

that'll leave you with 0

please help ssssssssss

Answers

the answer would be x = 1

Answer:

x = 1

Step-by-step explanation:

1/2(8x-6) = -1/3(9x-12)   distribute

4x-3 = -3x+4                 add 3x to both sides

7x-3 = 4                        add 3 to both sides

7x = 7                            divide by 7 on both sides

x = 1

i need help with #11!

Answers

The answer is: A.....
It’s A because D is showing the total hours if you multiply 12x12 and the same for C it’s just an equation. So your answer is A

Rykers’ regular pay rate is $11.97 an hour. He is paid time-and-a-half for hours worked over 40 hours in a week, including weekend work. He worked these hours from Monday through Saturday last week: 10.25, 6.25, 9.25, 12, 12.25, 6.25. What was his gross pay for the week?

Answers

Answer:

$770.65

Step-by-step explanation:

11.97/2=5.985

5.985+11.97=17.96

16.25 x 17.96=291.85

40 x 11.97=478.80

478.80+291.85=770.65

Calculate X and leave your answer to 3 significant figures.

Answers

Answer:

x=9.23

Step-by-step explanation:

Zy=x

Yx=11

Tan40=x/11

11tan40=x

11x0.8391

x=9.23

Find the surface area of the figure below. Each cube measures 1 inch.
Select the best answer from the choices provided.
OA. 52 in2
OB. 33 in?
OC. 24 in?
OD. 58 in2

Answers

Your answer would be OA. You would use the equation SA= 2(wl+hl+hw). You would then plug in your length width and height to then give you to eventually get you the answer 52.

Answer these two easy questions i give out brainlest

Answers

Answer: 1) true 2) false

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