3x-2y = -1
у= 4х - 7

Answers

Answer 1

Answer:

x =3

y =5

Step-by-step explanation:

Solve by substitution

[tex]\begin{bmatrix}3x-2y=-1\\ y=4x-7\end{bmatrix}\\\\\mathrm{Subsititute\:}y=4x-7\\\\\begin{bmatrix}3x-2\left(4x-7\right)=-1\end{bmatrix}\\\\\mathrm{Simplify}\\\begin{bmatrix}-5x+14=-1\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-5x+14=-1:\quad x=3\\\mathrm{For\:}y=4x-7\\\\\mathrm{Subsititute\:}x=3\\y=4\times\:3-7\\\\Simplify\\y=5\\x=3,\:y=5[/tex]

Answer 2
3x-2(4x-7)=-1
3x-8x+14=-1
-5x+14=-1
subtract 14 on both sides
-5x=-15
divide -5 on both sides
x=3
3x-2y = -1= 4 - 7

Related Questions

can someone plz help again? sorry​

Answers

Answer:

Subtraction property of equality

Step-by-step explanation:

[tex]x+1=-2\\[/tex]

Move 1 to the [tex]x = -2-1\\simplify\\\\x = -3[/tex]right and change its sign

Answer:

Last one

Step-by-step explanation:

Gabriella's step is justified by the substraction property of equality.

● x + 1 = -2

Gabriella substracted 1 from both sides

● x + 1 - 1 = -2 - 1

● x = -3

Ok so I'm taking precalculus and my teacher asked this question and I don't understand it at all Describe a situation with an output of area in square feet that can be modeled using the function f(x) = (x)(2x + 5).

Answers

Answer:

x=3

Step-by-step explanation:

3 square ft

What is 5.57575757... as a fraction ?

Answers

Answer:

[tex]\frac{5.57575757}{1}[/tex]

Step-by-step explanation:

Assuming you can't use a calculator:

5.575757... = 5 + 0.575757...

let 0.575757... = x

1) Substitute x for 0.575757...

5.575757... = 5 + x

2) Multiply both sides by 100

100(5.575757...) = 100(5+x)            

557.575757... = 500 + 100x    

3) Subtract 500 from both sides

57.575757... = 100x          

4) 57.575757... can be written as 57 + 0.575757...              

57 + 0.575757... = 100x

5) Substitute x for 0.575757...

57 + x = 100x

6) Subtract x from both sides

57 = 99x

7) divide both sides by 99

x = 57/99

8) plug in 57/99 for x in our original equation

5.575757... = 5 + (57/99)

9) simplify

5.575757... = ((5*99)/99) + (57/99)

5.575757... = (495/99) +(57/99)

5.575757... = (495+57)/99

5.575757... = 552/99

5.575757... as a fraction is 552/99

The integer
is neither positive nor negative.

Answers

Answer:

false

Step-by-step explanation:

an integer is any number greater or less than 0

Can someone please please help me I don’t understand

Answers

Answer: Pretty sure the answer is C

Step-by-step explanation:

Any distinct quantity contained in a polynomial.
O Power
O Term
O Base
O Integer

Answers

Answer:

answer is B

Step-by-step explanation:



Manny is watching the past three seasons of a The Big Bang Theory. He watched 8
episodes in 6 hours. At this rate, how many episode will he watch in 15 hours?
90
48
20
3.2

Answers

Answer:

20 episodes

Step-by-step explanation:

PLEASE HELP ME DUE TODAY!!

Answers

Answer: D) neither

Step-by-step explanation:

If you plug in any of the given coordinates, the answer is always incorrect

order each number greatest to least 1/2, -2, square root of 5, -7/4, 2.4
PLEASE HELP ME

Answers

Answer:

I think its

2.4, square root of 5, 1/2, -7/4, -2

hope this helps :D

Help me pleaseeee asap, thanks!

Answers

Answer:

see below

Step-by-step explanation:

[tex] \sqrt{64} + \sqrt{-144} = \sqrt{8^2} + \sqrt{-1 \times 12^2} [/tex]

[tex] ~~~~~~~~ = 8 + i \times \sqrt{12^2} [/tex]

[tex] ~~~~~~~~ = 8 + 12i [/tex]

Factor the polynomial 8x2 - 50

Answers

Answer:

2(2x - 5)(2x + 5)

Step-by-step explanation:

[tex]8x^{2} -50[/tex]

First pull out 2.

2[tex](4x^{2} -25)[/tex]

We can see each is a square after pulling out 2.

square root of 4 is 2 and square root of 25 is 5. Because the we have - 25 we know we have opposite signs, two - would make a positive, and two + would also make a positive, and the middle wouldn't cancel out. So we have:

2(2x - 5)(2x +5)

Let's check our work. Focus on the ( ) first.

2(2x - 5)(2x + 5)

2x * 2x + 2x * 5  - 5 * 2x - 5 * 5

4[tex]x^{2}[/tex] + 10x - 10x - 25

4[tex]x^{2}[/tex] - 25      Can't forget to multiply by 2!

2 (4[tex]x^{2}[/tex] - 25 )

8[tex]x^{2}[/tex] - 50

-x^2 -8=-33 Enter the solutions from least to greatest.

Answers

Answer:

x = -5, 5

Step-by-step explanation:

Step 1: Write out equation

-x² - 8 = -33

Step 2: Add 8 on both sides

-x² = -25

Step 3: Divide both sides by -1

x² = 25

Step 4: Take square root on both sides

x = ±5

Step 5: Arrange

-5 < 5

So x = -5, 5

17) Eli packed 1,920 peanuts into 8 sacks. He packed an equal number of peanuts in each sack. How many peanuts did he pack into each sack? ​

Answers

Answer:

240

Step-by-step explanation:

you have to divide 1,920 by 8

solve the following equation show your work 9 + 12m = 6 + 15(m - 1)

Answers

9 + 12m = 6 + 15m -15
9 + 12m = 15m - 9
9 = 3m - 9
18 = 3m
m = 6
9 + 12m = 6 + 15(m-1)
9 + 12m = 6 + 15m +(-15)
12m + (-15m)= 6 + (-15) + (-9)
-3m = -18
-3m/-3= -18/-3
m = 6

9 + 12(6) = 6 + 15(6 -1)
9 + 72 = 6 + 75
81 = 81

- Mary earns an hourly wilge of $13 plus a $90
bonus. If Mary's total paycheck shows she
received $597, how many hours did she work?

Answers

Answer:

39 hours

Step-by-step explanation:

Mary earns an hourly wage of $13

plus a $90 bonus.

Her total paycheck shows she received $597

Subtracting the bonus we get;

$597 - $90 = $507

1 hour -> she gets $13

how many hours will she get $507

Cross multiplying gives;

[tex]\frac{507}{13} * 1 = 39[/tex] hours

Answer:

           Mary worked 39 hours

Step-by-step explanation:

$597 - $90 = $507     - payment for hours only

507÷13 = 39

9.51 as a mixed number in a simplest form

Answers

Answer:

Below

Step-by-step explanation:

9 [tex]\frac{51}{100}[/tex]

Answer: 9 51/100

Step-by-step explanation:

STEP 1. Convert it into improper fraction

9.51=951/100

STEP 2. Convert improper fraction into mixed fraction

951 ÷ 100=9 R 51

9 51/100

Hope this helps!! :)

Please let me know if you have any question

q2-b2Evaluate if a=4 and b =-2​

Answers

Answer:

12

Step-by-step explanation:

Plug the given values into the equation to solve.

a² - b²

(4)² - (-2)²

16 - 4

12

Convert the following:
3 liters is equivalent to
pints

Answers

Answer:

3 liters is equvilent to 6.34 pints

Step-by-step explanation:

Question 2 (1 point)
According to Hooke's Law, the force needed to stretch a spring varies directly to the amount the spring is stretched 150 pounds of force
stretches a spring five inches, how much will the spring be stretched by a force of 180 pounds?
inches
Blank 1:

Answers

Answer: 6 inches

===========================================

Explanation:

x = amount (in inches) the spring is stretched

y = force applied (in pounds)

y = kx for some constant k, since x and y vary directly

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

Plug in the given info that x = 5 and y = 150 pair up together

Solve for k

150 = k*5

150/5 = k

k = 30

The equation goes from y = kx to y = 30x. Whatever the stretching distance (x) is, you multiply by 30 to get the force needed (y) to pull the spring.

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

Plug in y = 180 to solve for x

y = 30x

180 = 30x

30x = 180

x = 180/30

x = 6

The spring will be stretched 6 inches if you apply a force of 180 pounds.

Draw a diagram. Write the Segment Addition Postulate for the points described. Then solve for missing length.

8. C is between Q and R. If QC=2x, RC=3x, and QR=15
What is x?

Please show all work and not just the answers.

Answers

Answer:

3

Step-by-step explanation:

QC=2x

RC=3x

QR=15

THEREFORE,

QC+RC=QR

=>2x+3x=15

=>5x=15

=>x=15/5

=>x=3

The 8 students in Mrs. Allen's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered: 4, 12, 9, 6, 3, 15, 15, 6 Find the mean and median travel times for these students. If necessary, round your answers to the nearest tenth.

Answers

Answer:

Mean: 8,75

Median: 7,5

Step-by-step explanation:

To find Mean

To find the mean data you have to put data all set in order:

3, 4, 6, 6, 9, 12, 15, 15

Then, all of the numbers in the data set added together and then divided by how many numbers in the data that already put in order:

3 + 4 + 6 + 6 + 9 + 12 + 15 + 15 = 70

There are 8 numbers in the data so divide 70 by 8:

70 ÷ 8 = 8,75

----

To find Median

The median is in the middle number of the data that already in order. Which is number 6 and 9.

Median = (6 + 9) ÷ 2

Median = 15 : 2

Median = 7,5

A chess club with 60 members is electing a new president. Karen received 39 votes. what percentage of the club members voted for Karen?

Answers

Answer:

65% voted for Karen

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

I am in a subset of rational numbers, I am not negative, I am a whole number, I am not a natural number, what number am I?

Answers

Answer:

Step-by-step explanation: 0 because it is not considered a natural number.

The integer 3 is 3 units from 0 on the number line. Which integer is also 3 units from 0 on the number line? Complete the sentence with the correct integer.

Answers

Answer:

-3

Step-by-step explanation:

The number line is the straight line where all the numbers are expressed and when we represent this line we usually use intervals of the same length to express the numbers. For example, the numbers 0, 1, 2, 3, 4 would have the same distance between them since there is one integer between each of them.

The number line also has negative numbers, so the integer to the left of the zero is -1, then we have -2, -3, etc.

In this example we are told that the integer 3 is 3 units from 0 on the number line, this number is 3 units from zero to the right (positive numbers). So, as we said before, if we move 3 units from 0 but to the left we would be 3 units from 0 but on the side of negative numbers and thus, the integer that is also 3 units from zero on the number line is -3.

Please find the answers

Answers

Answer: -4,-3,-2,-1,0,1,2,3

Step-by-step explanation: they are asking you to put all the integers -4 and 4 in ascending order so, you must start from -4 and go up which is moving to the positive side on the number line and end at 4.

How do I "undo" multiplication

Answers

A way of undoing any operation, is using the inverse of the operation. So if you want to ‘undo’ addition you subtract, and if you want to ‘undo’ multiplication you divide.

Hope this helps!!

ANSWER - BY DIVIDI.G BOTH THE SIDES OF THE EQUATION BY THAT FRACTION  BUT TO DIVIDE BY A FRACTION .WE FLIP THAT FRACTION AND MULTIPLY.

HOPE IT HELPS

when multiplying or dividing a negative and negative number your results will be

Answers

you will get positive as a answer

a+b/c=5. Solve for b

Answers

Answer:

b = c(5 - a)

Step-by-step explanation:

Given

a + [tex]\frac{b}{c}[/tex] = 5 ( subtract a from both sides )

[tex]\frac{b}{c}[/tex] = 5 - a ( multiply both sides by c to clear the fraction )

b = c(5 - a)

The value of b form the equation a + b/c = 5  will be b = c(5 - a)

How to evaluate a given mathematical expression with variables if values of the variables are known?

We can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

Given;

a + b/c = 5

subtract a from both sides;

b/c  = 5 - a

multiply both sides by c to clear the fraction;

b = c(5 - a)

Hence, The value of b form the equation a + b/c = 5  will be b = c(5 - a)

Learn more about evaluating a function at a value here:

https://brainly.com/question/2753269

#SPJ2

Find the quotient: –1019÷(−57). a: 7095 B: 1419 c : 1419 d : 7095

Answers

Answer:

[tex]Quotient = 17[/tex]

Step-by-step explanation:

Given

[tex]\frac{-1019}{-57}[/tex]

Required

Determine the quotient

[tex]\frac{-1019}{-57}[/tex]

Start by dividing the numerator and denominator by -1

[tex]\frac{1019}{57}[/tex]

The quotient is the integer division of two numbers;

[tex]\frac{1019}{57} = 17.8771929825[/tex]

Since, we only need the integer part;

[tex]Quotient = 17[/tex]

None of the given options answer the question

Hello could anyone help me out? thank you! The room temperature is 50 *F. The temperature will decrease by 4*F each hour. Let "h" be the number of hours. When will the temperature be below 32*F?
Write an inequality for this problem.

Answers

We start off with 50 as our room temperature.

Then we subtract off 4h to indicate the temperature drops 4 degrees per hour

You can think of it like this

1 hour = drop by 4 degrees

h hours = drop by 4h degrees (multiply both sides by h)

So the expression 50-4h represents the temperature after h hours. We want this to be below 32, so 50-4h < 32 is the inequality we're after

Solving for h leads to

50-4h < 32

-4h < 32-50 ... subtract 50 from both sides

-4h < -18

h > -18/(-4) ... divide both sides by -4; note the inequality sign flips

h > 4.5

If you go beyond 4.5 hours, then the temperature will be below 32 degrees

notes:

4.5 hours = 4 hours, 30 minutes = 270 minutesthe inequality sign flips whenever you divide both sides by a negative number

After 1 hour 46

After 2 hour 42

After 3 hour38

After 4 hour 34

After 4 (1/2) hour 32

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