how do you solve this (first equation) x=2y-1 (second equation) x+y=40

Answers

Answer 1

Answer:

[tex]x = 26 \frac{1}{3} \\ [/tex]

[tex]y = 13 \frac{2}{3} \\ [/tex]

Step-by-step explanation:

x = 2y - 1

x - 2y = -1 ________(1)

x + y = 40________(2)

(2) - (1)

[tex]x + y - (x - 2y) = 40 - ( - 1) \\ x + y - x + 2y = 40 + 1 \\ 3y = 41 \\ y = \frac{41}{3} \\ y = 13 \frac{2}{3} \\ [/tex]

y = 13 2/3

[tex]x + y = 40 \\ x + 13 \frac{2}{3} = 40 \\ x = 40 - 13 \frac{2}{3} \\ x = 40 - \frac{41}{3} \\ x = \frac{3(40) - 41}{3} \\ x = \frac{120 - 41}{3} \\ x = \frac{79}{3} \\ x = 26 \frac{1}{3} \\ [/tex]


Related Questions

Simplify the expression -3 devided by -2/5. A. -7 1/2 B. -1 1/5 C. 1 1/5 D. 7 1/2

Answers

Answer:

D. 7 1/2

Step-by-step explanation:

-3 divided by -2/5

-(-3(-5/2)

-(-3 x 5/2)

-15/2

7 1/2

Hope it helps

Determine whether the series -3 + 9 - 27+ .... is convergent or divergent.

Answers

Answer:

divergent

Step-by-step explanation:

just took it

Charlie took a test with two parts; Reading with 60 questions and Math with 40 questions. He scored 55% on the Reading part and 90% on the Math part. What is his overall percentage score, assuming each of the 100 questions has equal weight?

Answers

Answer:

10

Step-by-step explanation:

Solve the system: 10x-9y=8 21y+15x=0.5

PLEASE HELP NEED ASAP

Answers

Answer:

x = 1/2

y = -1/3

Step-by-step explanation:

10x - 9y = 8    (Multiply by 3)

15x + 21y = 0.5 (Multiply by -2)

30x - 27y = 24

-30x - 42y = -1

-69y = 23

y = -1/3

10x - 9y = 8

10x - 9(-1/3) = 8

10x + 3 = 8

10x = 5

x = 1/2

What is the volume of the square pyramid, in cubic inches?

Answers

The volume is 648 in³.

V = (a)² h/3
V = (9)² 24/3
V = (81) 24/3
V = 1944/3
V = 648 in³

How many lines of symmetry does this shape appear to have?​

Answers

Answer:

There are 6 lines of symmetry.

What is the sum of 52.07+8.43

Answers

Answer:

60.5

Step-by-step explanation:

Ehhh 52.07+8.43=60.5?

Pls Help Me find the Area T-T

Answers

Answer:

the answer is 55m^2 I think

Answer:

55 is the Area

Step-by-step explanation:

4 x 10 = 40

5 x 3 = 15

15 ÷ 2 = 7.5

5 x 3 = 15

15 ÷ 2 = 7.5

7.5 + 7.5 = 15

40 + 15 = 55

Give Me Brainllest

Will give brainliest for correct answer

Answers

Answer:

Step-by-step explanation:

1. Not a function

2. Not a Function

3. Function

A map has a scale of 1 inch: 3 kilometers. Use the given distance to find the distance on the
map
a) 18 km
b) 76 km
c) 0.5 km

Answers

A I think but I’m not sure

What is the value of x
[tex]x {}^{2} \times 5x = 625[/tex]

Answers

Answer:

x = 5

Step-by-step explanation:

x^2 * 5x = 5x^3

5x^3 = 625            Divide by 5

x^3 = 625/5

x^3 = 125               Take the cube root of 125

x = 5

If 2^2x = 2^3, what is the value of x?

Answers

Answer:

X = 2 If the exponent 2 in the 2 does not have the x

Step-by-step explanation:

ANSWER THE QUESTION FOR BRAINLIEST

Answers

Answer:

c -1 and 2

Step-by-step explanation:

can i have BRAINLIEST?

Question is down in the image|||

Answers

Answer:

A

Step-by-step explanation:

ANSWER THE QUESTION FOR BRAINLIEST

Answers

The graph is decreasing at one rate and then decreasing at another rate (B)

which experimental probability from coach nelson's experiment equals the theorectical probability? what is this probability?

Answers

Answer:

QUESTION:

which experimental probability from coach nelson's experiment equals the theorectical probability? what is this probability?

ANSWER:

This will explain everything to you.

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/v/comparing-theoretical-to-experimental-probabilites

Step-by-step explanation:

Hope that this helps you out! :)          

If you have any questions please put them in the comment section below this answer.          

Have a great rest of your day/night!          

Please thank me on my profile if this answer has helped you.

Algebra 2 Help, Correct Answers only please!

Answers

Hope this will help.


A farmer is trying to decide how many acres of land he has planted by
finding the area, A, of his plot. x represents a measuring chain he is
using. If the plot has length (5x – 3) and width (2x + 7), which of the
following is the area in terms of x?
F 10x2 + 41x-21
H 10x2 + 29x - 21
G. 7X2 + 7x + 4
J. x2 - 6x +4

Answers

Answer:

H

Step-by-step explanation:

(5x-3) x (2x+7)

10x^2 + 35x - 6x - 21

10x^2 + 29x - 21

1. Name the side lengths of a 30 degree triangle. Hint adjacent, opposite, and hypotenuse.

Answers

Pointing ok ok yeah yeah

What is m∠G to the nearest tenth?

Answers

Answer:

Step-by-step explanation:

tan(G) = 28.2/45.8

G = arctan(28.2/45.8) = 31.6°

Can someone find the error ??
And solve it
Please this geometry
Specials right triangle

Answers

In a 30-60-90 triangle the hypotenuse is 2 times the shortest leg.

In the problem, they multiplied the shortest leg by sqrt(3)

Hypotenuse = shortest leg x 2

Hypotenuse = 7 x 2 = 14 units

If the measure lf 2 is 83, what is the measure of 3?

Answers

Answer: 97

Step-by-step explanation:

2 and 3 form a supplementary angel, so the sum of the angles should equal 180

Find tan 0.
(Lots of points if correct)

Answers

Answer:

Your answer is 15/8

Please help I need to do this for homework but I have zero clue what to do.
The quarterback should have thrown the ball when the receiver was open about 16 yards down the field. Can you find how far the quarterback would have to throw the ball?​

Answers

Answer:

[tex]20[/tex]

Step-by-step explanation:

[tex]12[/tex]²[tex]+16[/tex]²[tex]=400.[/tex]

[tex]\sqrt{400}[/tex][tex]=20[/tex]

please sove this
I will mark you as brainleist like and give five stars​

Answers

It would be a negative Integer

Answer:

Negative

Step-by-step explanation:

A negative times a negative equals positive

A positive times a negative equals a negative

A positive times a positive equals a positive

Can somebody help me please!!

Answers

Answer:

Its A

Step-by-step explanation:

12) What type of triangles will always be similar to one another?

Answers

Answer:

Right

Step-by-step explanation:

Answer: Two equilateral triangles are always similar.

Step-by-step explanation:

.
In each row, decide whether the expression in column A is equivalent to the expression in column B. If they are not
equivalent, show how to change one expression to make them equivalent.
A
B
A.
3x-2x +0.5x
1.
1.5x
B.
3(x + 4)-2(x + 4)
2. x + 3
C.
6(x+4)-2(x + 5)
3. 2(2x + 7)
D.
3(x + 4)-2(x + 4) + 0.5(x + 4)
4. 1.5
For each situation write an eynression for the new balance using as few terms as possible

Answers

A. [tex]3x-2x+0.5x=1.5x[/tex], so the expressions are equivalent.

B. [tex]3(x+4)-2(x+4)=x+4[/tex], so the expressions are not equivalent. To make the expressions equivalent, add 1 to expression B.

C. [tex]6(x+4)-2(x+5)=6x+24-2x-10=4x+14=2(2x+7)[/tex], so the expressions are equivalent.

D. [tex]3(x+4)-2(x+4)+0.5(x+4)=1.5(x+4)[/tex], so the expressions are not equivalent. To make the expressions equivalent, multiply expression B by (x+4).

Use the distributive property to rewrite each expression in its equivalent form

Answers

Answer:

picture?

Step-by-step explanation:

Name 2 decimals that round to 8.64.
I need help plzzzzz

Answers

Answer:

8.643, 8.639

Step-by-step explanation:

Step-by-step explanation:

What is the number 8.64 rounded to the nearest tenth? -

What is 2.098 rounded to two decimal places? ... You could also use round-to-odd, which is like round-to-even in its ability to remove bias, ...

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