What is the value of x in the solution to the system of equations? 4x - 2y = 5 y = 3x - 1​

Answers

Answer 1
Answer:

Answer:

\huge\boxed{\sf x = -2}

Step-by-step explanation:

4x - 2y = 5 -------------------------------(1)

y = 3x - 1 ----------------------------------(2)

Put Eq. (2) in (1)

4x - 2(3x-1) = 5

4x - 6x + 1 = 5

-2x + 1 = 5

Subtracting 1 to both sides

-2x = 5 - 1

-2x = 4

Dividing both sides by -2

x = 4 / -2

x = -2

\rule[225]{225}{2}

Hope this helped!

~AnonymousHelper1807

Answer 2
Answer:

Answer:

X = 7

Step-by-step explanation:

Please mark brainliest.


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you have 4 gallons of gas in your car. Your car gets 23 miles per gallon. How many miles can you drive?

Answers

Your car will take you 23 miles on the first gallon, 23 miles on the second gallon, 23 miles on the third gallon, and 23 miles on the fourth gallon. The total distance is 92 miles, and if you have not added more gas by that time, it will all stop right there.
you can drive 92 to miles and all you had to do to figure out the answer was 23x4

x + 3y = 7 x - 3y = 1 Solve the system of equations. A) x = 4, y = 1 B) x = 1, y = 4 C) x = - 2 3 , y = 3 D) x = 3, y = - 2 3

Answers

x+3y=7
x-3y=1
add them together

x+3y=7
x-3y=1 +
2x+0y=8

2x=8
divide 2
x=4
subsitute
x+3y=7
4+3y=7
subtract 4
3y=3
divid 3
y=1

x=4
y=1

answer is A
X + 3y = 7 
x - 3y = 1

x + 3y = 7
   - 3y    -3y

x = 7 - 3y

x - 3y = 1
7 - 3y - 3y = 1
7 -6y = 1
-7         -7

-6y = -6
y = 1

Now solve for x

X + 3y = 7
x + 3 = 7
x = 4

Now we have our values:-
x = 4 and y = 1

Answer: A) x = 4, y = 1

Write a quadratic function in standard form with zeros 9 and -4

Answers

if\ x_1\ and\ x_2\ zeros,\ then\ quadratic\ function\:\n\nf(x)=a(x-x_1)(x-x_2)\n\n\n9;\ -4-zeros,\ then:\n\nf(x)=a(x-9)(x+4)=a(x^2+4x-9x-36)=a(x^2-5x-36)\n\n\nif\ a=1\ then\ f(x)=x^2-5x-36

Which one of the following is a Geometric Sequence?

Answers

Answer:

The geometric sequence among following is:

         Option: B

         8 , 4 , 2 , 1 , 1/2 , 1/4 ,.....

Step-by-step explanation:

Geometric sequence--

A sequence is said to be a geometric sequence if each of the number in the sequence is a constant multiple of the preceding term in the sequence.

This constant multiple is known as the common ratio (r)

i.e. the sequence is given by:

a,ar,ar²,ar³,.....

A)

0,1,2,3,......

It is a arithmetic sequence and not a geometric sequence .

Since, each of the term is increasing by 1 as compared to the preceding term of the sequence.

B)

8,4,2,1,1/2,1/4,.....

It is a geometric sequence.

Since, each term of the sequence is a constant multiple of 1/2 of the preceding term of the sequence.

i.e. 8×(1/2)=4

4×(1/2)=2

2×(1/2)=1

1×(1/2)=1/2

and so on.

i.e. the common ratio is: 1/2

C)

-7,10,23,36,.....

This is not a geometric sequence.

Since,

-7* (-10)/(7)=10

but

10* (-10)/(7)\neq 23

D)

2,-3,9/2,-18/4

Here

2* (-3)/(2)=-3

-3* (-3)/(2)=(9)/(2)

but

(9)/(2)* (-3)/(2)=(-27)/(4)\neq (-18)/(4)

Hence, it is not a geometric sequence.

Lea and Marie are washing all the windows in their house. It would take Lea 80 minutes to wash the windows by herself, and it would take Marie 60 minutes to wash them by herself. Lea creates a table so she can find out how long it will take to wash the windows if they work together. What is the missing value in the table that represents the rate for Marie?

Answers

The missing value that represents the rate for Marie is 1/60. As mentioned in the table, rate (r) is the part (p) per minute (t). Let's check if it works for Lea. If p = 1/80t, then r = (1/80t)/t = 1/80 * t/t = 1/80 * 1 = 1/80. So, the formula works. Now, calculate the rate for Marie. If p = 1/60t, then r = (1/60t)/t = 1/60 * t/t = 1/60 * 1 = 1/60

Answer:

it would be d 60t

Step-by-step explanation:

Lea and Marie are washing all the windows in their house. It would take Lea 80 minutes to wash the windows by herself, and it would take Marie 60 minutes to wash them by herself. Lea creates a table so she can find out how long it will take to wash the windows if they work together. What is the missing value in the table that represents the rate for Marie?

A table showing Rate in part per minute, Time in minutes, and Part of Windows Washed. The first row shows Lea, and has StartFraction 1 Over 80 EndFraction, t, and StartFraction 1 Over 80 EndFraction t. The second row shows Marie, question mark, t, and StartFraction 1 Over 60 EndFraction t.

so if she and her friend would be washing all of the windows in their house then their house is 60 cm and 60 in so the answer would be 60t

The length of a rectangle is 5 5 centimeters less than six times six times its width. Its area is 14 14 square centimeters. Find the dimensions of the rectangle.

Answers

Answer:

Dimensions of rectangle are length = 7 cm and width = 2 cm

Step-by-step explanation:

Let l = length and w = width of the rectangle.

Given that, length is 5 cm less than 6 times width. Rewriting it in equation form,

L =  6 w - 5  cm

Also given that area of rectangle is 14 cm²

Now using formula for area of rectangle,

Area of rectangle = length × width

Area of rectangle = l × w

Substituting the values,

14 = (6 w - 5) × w

Simplifying by using distributive rule,

14 = 6 w² - 5 w

To find the value of b, use the quadratic formula. So rewriting the equation in quadratic form ax²+bx+c=0

Subtracting 14 on both sides,

0 = 6 w² - 5 w - 14

Rewriting,

6 w² - 5 w - 14  = 0

Now applying quadratic formula,

x=(-b\pm √(b^2-4ac))/(2a)

Rewriting the formula in terms of w,

w=(-b\pm √(b^2-4ac))/(2a)

From the 6 w² - 5 w - 14  = 0, value of a = 6 , b = - 5 and c = - 14.

Substituting the values,

w=(-\left(-5\right)\pm √(\left(-5\right)^2-4\cdot \:6\left(-14\right)))/(2\cdot \:6)

Simplifying,

w=(-\left(-5\right)\pm √(25+336))/(12)

w=(-\left(-5\right)\pm √(361))/(12)

Since √361 = 19,

w=(-\left(-5\right)\pm 19)/(12)

There will be two values of w,

w=(-\left(-5\right)+19)/(12) and w=(-\left(-5\right)-19)/(12)

Simplifying,

w=(5+19)/(12) and w=(5-19)/(12)

w=(24)/(12) and w=(-14)/(12)

Reducing the fraction in lowest form, divide first expression by 12 and second expression by 2.

w=2 and w=(-7)/(6)

Since the length of width cannot be negative, so value of w = 2 cm

To find the value of length, Use equation L =  6 w - 5  cm

L =  6 (2) - 5  cm

L =  12 - 5  cm

L =  7  cm

Therefore l = 7 cm and w = 2 cm are the dimensions of the rectangle.