Solve by the substitution method.
6x + 8y = 0
-7x + y = 31

Answers

Answer 1

Answer:

(-4, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

6x + 8y = 0

-7x + y = 31

Step 2: Rewrite Systems

-7x + y = 31

Add 7x to both sides:                    y = 7x + 31

Step 3: Redefine Systems

6x + 8y = 0

y = 7x + 31

Step 4: Solve for x

Substitution

Substitute in y:                    6x + 8(7x + 31) = 0Distribute 8:                        6x + 56x + 248 = 0Combine like terms:           62x + 248 = 0Isolate x term:                     62x = -248Isolate x:                              x = -4

Step 4: Solve for y

Define equation:                    -7x + y = 31Substitute in x:                       -7(-4) + y = 31Multiply:                                  28 + y = 31Isolate y:                                 y = 3

Related Questions

I need help finding the circled ones​

Answers

#12 is 17, #3 is 59, #8 is 28, #22 is 78, #32 is 90, #10 is 59, #21 is 26

In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house

Answers

Answer:

$12,500

Step-by-step explanation:

Given that, Linda purchased a house for $120,000 in 2007 and the value of the house was $245,000 in 2017.

Total change in the value of house= $245,000- $120,000=$125,000.

Total time (in years) between 2007 and 2017 = 2017-2007=10 years.

The value of the house changes by $125,000 in the time interval of 10 years.

So, the average annual rate of change in the value of the house = $125,000/10=$12500 per year.

Hence, the average annual rate of change in the value of the house is $12,500.

The recycling bin for the school is in the shape of a rectangular prism. The bin has a length of 16 inches, a width of 14 inches, and a height of 15 inches. Whatis the volume of the recycling bin?

Answers

Answer:

3150 inches is the volume

Step-by-step explanation:

i hoped this helped

A substance has a density of 0.70 g/mL, if it has a volume of 3.0 mL, what is its mass?

Answers

Answer:

2.1 g

Step-by-step explanation:

The mass of a substance when given the density and volume can be found by using the formula

mass = Density × volume

From the question we have

mass = 0.70 × 3

We have the final answer as

2.1 g

Hope this helps you

Pam used the following process to find the y intercept of the line described by the equation 2y-y=11.

According to Pam's method, which expression gives the y-intercept of the line described by the equation ax+by=c?
a. -a/b
b. b/a
c. -b/c
d. c/d

Answers

Answer:

c/b

Step-by-step explanation:

Given the expression ax+by = c, the y intercept of the line occurs at when x = 0

Substitute x = 0 into the expression and get the value of y

ax+by = c

a(0)+by = c

0+by = c

by = c

divide both sides by b

by/b = c/b

y = c/b

Hence the y intercept of the line occurs at y c/b

Determine whether the lines are parallel, perpendicular, or neither. 5x + 2y = 14 and y = −5x + 9

Answers

Answer: Neither

Step-by-step explanation:

5x + 2y = 14

2y = -5x + 14

y = -5/2 x + 7; slope m = -5/2

y = –5x + 9 ; slope m = -5.

Parallel lines slopes are equal and perpendicular slopes are opposite and reciprocal.

So both lines are neither parallel nor perpendicular

Answer

C. Neither.

Answer: Neither

Step-by-step explanation:

5x + 2y = 14

2y = -5x + 14

y = -5/2 x + 7; slope m = -5/2

y = –5x + 9 ; slope m = -5.

Parallel lines slopes are equal and perpendicular slopes are opposite and reciprocal.

So both lines are neither parallel nor perpendicular

Answer

C. Neither.

what is the answer to 3(4x-5)

Answers

Answer:

12x - 15

Step-by-step explanation:

3 times 4x is 12x

3 times -5 is -15

therefore, 12x - 15

(3 • 4x) - (3x5)

12x - 15

Hope this helps


A school wants to buy some new desks and chairs. If it buys 40 desks and 100 chairs, the
total cost is $1100; if it buys 50 desks and 80 chairs, the total cost is $1150. What is the
price of a desk and a chair

Answers

Answer: The price of desk is 15 and the price of the chairs 5

Step-by-step explanation:

6. Find how long it takes $600 to double if it is invested at 12%
interest compounded monthly.
With work

Answers

Answer:

A = $697.09

Step-by-step explanation:

A = P (1 + r/n)

A = 600 (1 + 0.05/365)

A = $697.09

Use the identity (x+y)(x^2−xy+y^2)=x^3+y^3 to find the sum of two numbers if the product of the numbers is 28, the sum of the squares is 65, and the sum of the cubes of the numbers is 407.

Answers

Step-by-step explanation:

We have xy = 28, x² + y² = 65 and x³ + y³ = 407.

Since (x + y)(x² - xy + y²) = x³ + y³,

x + y = (x³ + y³)/(x² + y² - xy)

= (407) / [(65) - (28)]

= 407 / 37

= 11.

Hence the sum of the numbers is 11.

Answer:

The sum is 11

Step-by-step explanation:

Hope this helped have an amazing day!

AHH HELP-

solve for y.
-2x + y = 5

what does y equal and how did you solve it?

Answers

Answer:

x = - 5 +  Y        _     _        2     2

Step-by-step explanation:

I just moved all terms that don't contain x to the

right side and solved!

Hope this Helps!

PART OF A STUDY SET!!!! NEED THE ANSWER ASAP BEING TIMED GIVING BRAINLY AND THANKS FOR HELP!!!!!!!!
1.)
What value of x makes the following equation true?

2(6 - 2x) - 2x = 2(5 + x) - 4

A) 3/4
B) 1/4
C) -1/4
D) -3/4

2.)

What is the solution to the following equation?

3(7 + 2x) + 3 = 3(5 + x) - 9(x + 1)

A) 3/2
B) 2/3
C) -2/3
D) -3/2

Answers

Answer:

1.) A

2.) D

Step-by-step explanation:

Answer:

1. 3/4

2.-3/2

Step-by-step explanation:

For the first problem, distribute the 2(6-2x) and 2(5+x) to simplify the equation.    This means, multiply what's inside the parentheses by 2. The simplified version of the equation is: 12-4x-2x=10+2x-4.

Once you have distributed, then combine like terms and solve for x.

You do the same thing for the second problem.

what’s the value of x in the solution to this system of equitations:
3x + 4y =-3
x= -2y- 1

Answers

Answer:

x = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -3

x = -2y - 1

Step 2: Solve for y

Substitution

Substitute in x:                    3(-2y - 1) + 4y = -3Distribute 3:                         -6y - 3 + 4y = -3Combine like terms:           -2y - 3 = -3Isolate y term:                     -2y = 0Isolate y:                              y = 0

Step 3: Solve for x

Define equation:                   x = -2y - 1Substitute in y:                      x = -2(0) - 1Multiply:                                 x = 0 - 1Subtract:                                x = -1

Using known properties, determine if the statements are true or not. Select True or False for each statement. If one pair of consecutive sides of a parallelogram is congruent, then the parallelogram is a rectangle. The diagonals of a parallelogram bisect each other. If a quadrilateral has four right angles, then it is a square.

Answers

Answer:

The diagonals of a parallelogram bisect each other.

Step-by-step explanation:

If one pair of consecutive sides of a parallelogram is congruent, then the parallelogram is a rectangle.

False. This is rhombus.

The diagonals of a parallelogram bisect each other.

True

If a quadrilateral has four right angles, then it is a square.

False. It is rectangle.

If f(x) = 9-2 |x+2|, find f(-7).
-15
-1
1
19

Answers

Step-by-step explanation:

f(x) = 9 - 2|x + 2|

When x = 7, f(-7) = 9 - 2|(-7) + 2|

= 9 - 2|(-5)|

= 9 - 2(5)

= 9 - 10

= -1.

9514 1404 393

Answer:

  -1

Step-by-step explanation:

Put -7 where x is and do the arithmetic.

 f(-7) = 9 -2|-7+2|

  = 9 -2|-5| = 9 -2·5 = 9 -10

  f(-7) = -1

Atrain travels at a speed of 58.6 km'hi Express this speed
a.ms
b. m/min​

Answers

Answer:

16.27

Step-by-step explanation:

if 1000m rep 1km

therefore :

58.6km/h in ms = 58.6km×1000/3600

=16.277 ms

Steve drove at a constant rate to the beach for a vacation. In the equation below, t is the time in hours it took Steve to drive to the beach.

64t = 384

What is the unit rate in the equation above?
A.
64 miles per hour
B.
320 miles per hour
C.
384 miles per hour
D.
6 miles per hour

Answers

9514 1404 393

Answer:

  A.  64 miles per hour

Step-by-step explanation:

In a linear equation, the "unit rate" is generally the coefficient of the variable. The units of the unit rate depend on the definition of the relationship.

Here, the time t is in hours, so the "unit rate" will be <something> per hour. The answer choices suggest that the <something> is "miles". That is, the units of the equation are ...

  (miles/hour) × (hours) = miles

With numbers/variables, that is ...

  (64 miles/hour) × (t hours) = 384 miles

The unit rate is 64 miles per hour.



Simplify 6258 x 52 + 25​

Answers

Answer:

325441

Step-by-step explanation:

6258*52 = 32416

325416 + 25 = 325441

Answer:

325441

Step-by-step explanation:

6258(52)=325416

325416+25=325441

I need this ASAP!!! Please

Answers

the answer is 5/8 or 0.625

4. write the following in standard form
four hundred, thirty - two thousand, six hundred eight

Answers

The answer is 432,608

The chart shows how many people have signed up to go on a field trip each day. 62 students are allowed to go on the field trip. On
which day would you expect that number to be reached?
A)
8
B)
9
o
10
D
11

Answers

Answer:

c 10

Step-by-step explanation:

the number is increasing by 4. keep adding 4 until you reach 62, day 10

PLS HELP MEEE ITS DUE IN A FEW MINUTES

Answers

Answer:

x=7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Equating the expression for area to the given area  

2x² - 7x - 4 = 45 ( subtract 45 from both sides )

2x² - 7x - 49 = 0 ← in standard form

To factor consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 49 = - 98 and sum = - 7

The factors are - 14 and + 7

Use these factors to split the middle term

2x² - 14x + 7x - 49 = 0 ( factor the first/second and third/fourth terms )

2x(x - 7) + 7(x - 7) = 0 ← factor out (x - 7)

(x - 7)(2x + 7) = 0

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

2x + 7 = 0 ⇒ 2x = - 7 ⇒ x = -  

Thus the positive value for x is x = 7

(also, this answer isn't mine, and love the fire by bts armyyy)

How tall is Becky? Can you please help​

Answers

Answer:

Becky is 5 1/4 ft tall

What is the equation of this line in slope-intercept form? A. y=-4x+1 B. y=-1/4x+1 C. y=4x-1 D. y=4x+1. ​

Answers

Answer:

A (y= -4x+1)

Step-by-step explanation:

The ‘+1’ in the answer represents the point at which the line cuts the y axis (it crosses the y axis at +1)

The -4x comes from finding the gradient of the line which is done by using the formula (y2-y1)/(x2-x1) which will give you -4

An item on the sale rack at a local supermarket was marked $3.42. The original price of the item was $4.75.
What was the percent of the discount?

Answers

Answer:

$475

Step-by-step explanation:

The percentage of discount of the item is 72 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the percentage of discount in the price be = A

The marked price of an item at the supermarket = $ 3.42

The original price of an item at the supermarket = $ 4.75

Now , the equation will be

The percentage decrease = ( marked price of an item at the supermarket / original price of an item at the supermarket ) x 100

Substituting the values in the equation , we get

The percentage decrease A = ( 3.42 / 4.75 ) x 100

The percentage decrease A = 0.72 x 100

The percentage decrease A = 72 %

Therefore , the value of A is 72 % and the percentage of discount is 72 %

Hence , The percentage of discount of the item is 72 %

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

You bought a video game for $35. You got it on sale
for 25% off. What was the price before the sale?
Which formula do we use to solve this?

A.Final Price Formula

B.Original Price Formula

Answers

Answer:

Sorry I feel bad I don't kt the answer sorry hope you find the answer tho

Step-by-step explanation:

sorry

6th grade math i mark as brainliest​

Answers

Answer:

138.8 is the answer

Step-by-step explanation:

i hoped it helped

Answer:

138.8

Step-by-step explanation:

214.8-76=138.8

hope u get it right

have a great day

The 6% state income tax on a $40,000 salary

Answers

6/100 of $40,000 =
6/100 * 40,000=
6*400=
$2400

Answer:

2400

Step-by-step explanation:

because 6 percent of 40000 is 2400 please mark brianliest

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
O (3,-4)
O (-3,-4)
0 (-4,-3)
O (-4.3)

Answers

We can use the equation of tangent as a structure.

[tex]y - f(a) = f'(a)(x - a)[/tex]

Our f(a) is y-point and Our a is x-point..

Looking back at the equation, our f(a) would be 3 and a would be - 4

Therefore the answer is (-4,3)

Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?

Answers

Answer: (h)q^3

Step-by-step explanation:

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