1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
TEA [102]
2 years ago
13

2x+1=3(y-1) 6(2y-1)=5x Find values of x and y

Mathematics
2 answers:
olchik [2.2K]2 years ago
4 0

Answer:

x= -10/3

y= -8/9

Step-by-step explanation:

2x+1=3(y−1);6(2y−1)=5x

Rewrite equations:

2x+1=3y−3;12y−6=5x

Step: Solve2x+1=3y−3for x:

2x+1=3y−3

2x+1+−1=3y−3+−1(Add -1 to both sides)

2x=3y−4

2x2=3y−42(Divide both sides by 2)

x=32y−2

Step: Substitute32y−2forxin12y−6=5x:

12y−6=5x

12y−6=5(32y−2)

12y−6=152y−10(Simplify both sides of the equation)

12y−6+−152y=152y−10+−152y(Add (-15)/2y to both sides)

92y−6=−10

92y−6+6=−10+6(Add 6 to both sides)

92y=−4

92y92=−492(Divide both sides by 9/2)

y=−89

Step: Substitute−89foryinx=32y−2:

x=32y−2

x=32(−89)−2

x=−103(Simplify both sides of the equation)

trapecia [35]2 years ago
4 0

Answer:x=−103

Step-by-step explanation:

You might be interested in
The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the ma
andreev551 [17]

The maximum error in the calculated surface area is 24.19cm² and the relative error is 0.0132.

Given that the circumference of a sphere is 76cm and error is 0.5cm.

The formula of the surface area of a sphere is A=4πr².

Differentiate both sides with respect to r and get

dA÷dr=2×4πr

dA÷dr=8πr

dA=8πr×dr

The circumference of a sphere is C=2πr.

From above the find the value of r is

r=C÷(2π)

By using the error in circumference relation to error in radius by:

Differentiate both sides with respect to r as

dr÷dr=dC÷(2πdr)

1=dC÷(2πdr)

dr=dC÷(2π)

The maximum error in surface area is simplified as:

Substitute the value of dr in dA as

dA=8πr×(dC÷(2π))

Cancel π from both numerator and denominator and simplify it

dA=4rdC

Substitute the value of r=C÷(2π) in above and get

dA=4dC×(C÷2π)

dA=(2CdC)÷π

Here, C=76cm and dC=0.5cm.

Substitute this in above as

dA=(2×76×0.5)÷π

dA=76÷π

dA=24.19cm².

Find relative error as the relative error is between the value of the Area and the maximum error, therefore:

\begin{aligned}\frac{dA}{A}&=\frac{8\pi rdr}{4\pi r^2}\\ \frac{dA}{A}&=\frac{2dr}{r}\end

As above its found that r=C÷(2π) and r=dC÷(2π).

Substitute this in the above

\begin{aligned}\frac{dA}{A}&=\frac{\frac{2dC}{2\pi}}{\frac{C}{2\pi}}\\ &=\frac{2dC}{C}\\ &=\frac{2\times 0.5}{76}\\ &=0.0132\end

Hence, the maximum error in the calculated surface area with the circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm is 24.19cm² and the relative error is 0.0132.

Learn about relative error from here brainly.com/question/13106593

#SPJ4

3 0
2 years ago
Which terms could be used as the last term of the expression below to create a polynomial written in standard form? Check all th
kogti [31]
A polynomial is said to be in standard form if it is written in the order of degree from highest to lowest from left to right.

The degree of a term of a polynomial is the exponent of the variable or the sum of the exponents of the variables of that term of the polynomial.

Thus, given the expression
-5x^2y^4 + 9x^3y^3+\_\_\_

-5x^2y^4 has a degree of 6, and
9x^3y^3 has a degree of 6.

Thus, the exponent of the variable or the sum of the exponents of the variables of the next term of the polynomial must be less than or equal to 6 for the polynomal to be said to be in standars form.

Therefore, the <span>terms that could be used as the last term of the given expression to create a polynomial written in standard form are
x^5, \\  \\ &#10;y^5, \\  \\ &#10;6x^4y, \ and \\  \\ &#10;-xy^5</span>
7 0
2 years ago
Read 2 more answers
Find the difference.<br> (3- 2x + 2x2) - (4x -5 +3x2)
Gwar [14]

Answer:

6(1-x) is the answer your looking for if I'm right

6 0
3 years ago
HELPP ( Will give the brainliest answer) probability with a pair of dice
amid [387]

Answer:

4. 2/6 (There are 6 sides. Only 2 are not factors.)

5. 3/12

6. 2/12

7. 3/12

8. 3/12

9. 6/23

10. 9/12

Step-by-step explanation:

These make sense if you do the math in your head.


Need brainliest, trying to rank up.



<u><em>Thank you in advance.</em></u>

5 0
3 years ago
A certain television is advertised as a 36-inch TV (the diagonal length). If the width of the TV is 26 inches, how tall is the T
Aloiza [94]

Answer:

the correct answer is 24.9

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Antonio has 15 pennies in his pocket. Five eighths of his coins are pennies how many coins are in his pocket
    10·2 answers
  • A professional football field is 160 feet wide. What is the width in yards?
    11·2 answers
  • A standard number cube is tossed x times. how many different outcomes are possible?
    12·1 answer
  • Marilyn has 10 caramels, 12 mints, and 14 bars of dark chocolate in a bag. She picks three items from the bag without replacemen
    9·2 answers
  • Which expression is equivalent to 6(14)? A. 6(10 + 4) B. 6(10 + 14) C. 6(1 + 40) D. 6(10 + 40)
    9·2 answers
  • What is the Constant in this expression 5x+10?​
    12·2 answers
  • AD is a diameter of a circle and AB is a chord. If AD=34cm, AB=30cm, the distance of AB from the centre of the circle is :
    6·1 answer
  • Factor 1
    10·2 answers
  • Solve the following inequality.<br> 20 &lt; 8
    8·1 answer
  • Enter the finite geometric series from its given description, and then enter its sum.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!