Solve the following system by substitution:

y = -1x - 5
4x - 8y = 4

Answers

Answer 1

Answer:

x = - 3

y = - 2

Step-by-step explanation:

We have y = -1x - 5, so substitute that for y in the second equation:

4x - 8y = 4

4x - 8(-1x - 5) = 4

Now, solve for x:

4x + 8x + 40 = 4

12x + 40 = 4

12x = - 36

x = -3

Now, substitute - 3 in for x in the first equation:

y = -1x - 5 = -1(-3) - 5

y = 3 - 5

y = -2

You can check that these are right by substituting them into:

4x - 8y = 4

4(-3) - 8(-2) = 4

-12 + 16 = 4

4 = 4

So, you know that you solved correctly.


Related Questions

Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution.

7 x + 1 = 7 x+ 1. 3 x + 2 = 3 x minus 2. 4 x + 1 = 3 x + 8. negative 2 x minus 1 = negative 2 x minus 1.

Which of Jubal’s equations has no solution?
7 x + 1 = 7 x+ 1
3 x + 2 = 3 x minus 2
4 x + 1 = 3 x + 8
negative 2 x minus 1 = negative 2 x minus 1

Answers

Answer:

3x + 2 = 3x - 2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

5. Find the magnitude of 4i + 3j​

Answers

Answer:

5

Step-by-step explanation:

The magnitude of the complex number is expressed as;

|z| = √x²+y²

Given the complex number z = 4i+3j, x = 4 and y = 3

Substitute

|z| = √x²+y²

|z| = √3²+4²

|z| = √9+16

|z| = √25

|z| =5

Hence the magnitude is 5

You can work a maximum of 20 hours a week. You need to
make $195 In order to cover your expenses. Your translation
Job pays $15 an hour and your tutoring job pays $8 an hour.
Write a system of inequalities to express this situation. What is
the least possible number of hours you can work at your
translation job and still meet the requirements?
hours

Answers

Answer:

for connexus Modeling With Systems of Inequalities Quick Check as of 1-7-21

Step-by-step explanation:

1)C

2)C

3)D

4)C

5)C

Answer:

x=5

Step-by-step explanation:

For the function f(x)•= x2 + 4, identify the values of f(0),
f(1/2), and f(-1).

Answers

Answer:

the question is wrong may be.

Write an expression that is equivalent to:
12x - 3

Answers

3(4x-1)=12x-3
Hope this helps

!!!I need help in this answer

Answers

The answer should be x=3 and y=-2 so I’m unsure why that is not an answer
:( maybe ask ur teacher about it

Given g(x) = 1/2x+ 5, find the following.

g(4)
g(-10)
g(0)

Answers

Answer:

g4

Step-by-step explanation:

m

4.Triangle ABC is shown on the coordinate grid to the right. What are the coordinates of triangle A’B’C’ if the rule (x, y) → (–x – 3, y + 2) was applied to coordinates of triangle ABC?

Answers

Answer:

what grade is this

Step-by-step explanation:

I can check it and then I'll get back to you in 30 min

Remember : anything can be graphed using an ______

Answers

Equation or step function

please explain dis ahhhhhhhhhhhhh

Answers

Answer: 80

Step-by-step explanation:

because if you took off a 70 or 71 it would go above 86 if you took of 85 it would be below 86 so it has to be 80

Answer:

ok

Step-by-step explanation:

5x - 4y = 19
x + 2y = 8

Answers

Answer:

not sure what your question is but if youre trying to solve for the system of equations your awnser is (5,3/2)

Answer:

x= 5, y= 3/2

Step-by-step explanation:

5x -4y =19 (Equation 1)

x+ 2y=18 (Equation 2)

Using substitution method,

From equation(2),make x the subject of formula

x= 8-2y (Equation 3)

Substitute equation 3 into equation 1

5x -4y= 19

5(8-2y) -4y = 19

40 -10y -4y = 19

40-14y=19

Collect like terms

40-19=14y

21=14y

y= 21/14 = 3/2

Substitute for y in equation 3

x= 8 -2y

   8- 2(3/2)

  =8 -3

x = 5

Solve for x
Here we go again with the same thing‍♀️

Answers

Oh wow to solve for x u have to do the process of elimination so try day that’s a complete problem sorry I let u down

We want to find the zeros of this polynomial: p(x)=(2x-1)(x+3)(x+1)(x-2) Plot all the zeros (xxx-intercepts) of the polynomial in the interactive graph.

Answers

Answer:

i don't understand the question

Answer:

Step-by-step explanation:

(2x+5) x=-5/2

(x+1) x=-1

(x-3) x=3

What is the missing side length, x, in this
right triangle?
X
A.
5 meters
B. 10 meters
26 m
24 m
4
C. 12 meters
D. 43 meters

Answers

The answer will be D
Actually its B 10 meters 10^2 + 24^2 = 26^

4(x + y) – 6 = -8
choose a variable and solve the equation

Answers

Answer:

Step-by-step explanation:

4(x + y) - 6 = -8

4x + 4y - 6 = -8

            + 6 = +6

   4x + 4y     = -2    

Find the common difference. same as umber 1
2.) 21, 121, 221, 321
A.) d=-98
B.) d=100
C.) d=98
D.) d=-99

Answers

Answer: B.) d = 100

You add 100 to 21, you get 121.

You add 100 to 121, you get 221.

You add 100 to 221, you get 321.

And so on-

Hope dis helps :)

Give harmful effects of carbon dioxide​

Answers

Answer:

I hope this helps you

Step-by-step explanation:

Exposure to CO2 can produce a variety of health effects. These may include headaches, dizziness, restlessness, a tingling or pins or needles feeling, difficulty breathing, sweating, tiredness, increased heart rate, elevated blood pressure, coma, asphyxia, and convulsions.

there are 8 elements in a set a, there are 5 elements in a set b, and 3 elements of those are shared both a and b. how many elements are in union of a and b?

Answers

There are 10 elements in the union of A and B.

What is the union of A and B?

The union of A and B will contain all of the elements found in either A or B or both sets. The union of sets is represented by the set notation. To find the union of two sets A and B, use the union B formula. Simply putting all of A and B's elements in one set and removing duplicates yields the union.

So, set A has 8 elements and set B has 5 elements.

Both have 3 elements in common. So, 3 + (8 - 3) + (5 - 3) = 3 + 5 + 2 = 10

Therefore, there are 10 elements in the union of A and B.

Know more about the union of A and B here:

https://brainly.com/question/20598650

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Each face of a pyramid is an isosceles triangle with a 84° vertex angle. What are the measures of the base angles?

Need asappp!

Answers

Answer is base angles will both be 48 degrees.

Step by step

The base angles are the 2 congruent angles in an isosceles triangle.

Sum of the interior angles =180 degrees.

The vertex is 84, so we know one angle.

180 - 84 = 96

Since the base angles will be equal, we divide 96 by 2 = 48.

The base angles will each be 48 degrees.

PLEASE ANSWER QUICK I NEED TO FINISH IN 50 MINUTES FOR MY TEST

James and Willis are both painting a room. James could complete it in 6 hours by himself. Together they can complete the room in 2 hours. How long would it take Willis to paint the room by himself?

Answers

Answer: Willis will take 3 hours to paint the room by himself.

Step-by-step explanation:

Given: Time taken by James to complete job by himself = 6 hours

Let Time taken by Willis to complete job by himself = t hours

Together they take 2 hours.

[tex]\dfrac{1}{6}+\dfrac{1}{t}=\dfrac{1}{2}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{1}{6}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-1}{6}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{2}{6}\\\\\Rightarrow\ t=\dfrac{6}{2}\\\\\Rightarrow\ t=3[/tex]

So,  Willis will take 3 hours to paint the room by himself.

r= √a/3
rearrange to make a the subject
srslyyyyy helpppp​

Answers

Answer:

a = 9r²

Step-by-step explanation:

Given

r = [tex]\frac{\sqrt{a} }{3}[/tex] ( multiply both sides by 3 to clear the fraction

3r = [tex]\sqrt{a}[/tex] ( square both sides )

(3r)² = ([tex]\sqrt{a}[/tex] )²

9r² = a

If there are no Domain Restrictions, what is the domain?

Answers

Answer:

If there are no restrictions, the domain is all real numbers.

- infinity < x < infinity

Answer:

Step-by-step explanation:

Functions are a correspondence between two sets, called the domain and the range. When defining a function, you usually state what kind of numbers the domain (x) and range (f(x)) values can be. But even if you say they are real numbers, that doesn’t mean that all real numbers can be used for x. It also doesn’t mean that all real numbers can be function values, f(x). There may be restrictions on the domain and range. The restrictions partly depend on the type of function.

In this topic, all functions will be restricted to real number values. That is, only real numbers can be used in the domain, and only real numbers can be in the range.

if 0<0<90, is sin 0 equal to cos (90-0) and for what reason

Answers

Answer:

When the angle becomes zero, then the base becomes 0, and the perpendicular and the hypotenuse becomes the same line. Since in cos 90, base is 0, therefore therefore cos 90 is zero

Step-by-step explanation:

please help me if you don’t know the answer, please don’t answer it.

Answers

Answer:

Step-by-step explanation:

(1/2)/3 = x/4

1/6=x/4

x=4/6 = 2/3

x = 4/6 = 2/3 is the answer, hope this helps!!

Mandy buys 5.5 packs of organic milk from the neighborhood store. Each pack is priced at $3.96. How much does Mandy spend in all on his purchase?

Answers

Answer:

$21.78

Step-by-step explanation:

We know that each pack of milk costs $3.96, so if we buy 5.5 of these, we will have to pay $3.96 5.5 times. In other words, we must multiply 3.96 by 5.5:

3.96 * 5.5 = 21.78

Thus, Mandy spends $21.78 in all.

Kia has 4 necklaces , 7 bracelets ,and 5 rings to bracelets

Answers

Answer:

What are you asking?

Step-by-step explanation:

SOMEONE PLEASE HELP EVEN IF ITS ON QUESTION ANSWERED OR TWO
Use 45-45-90 & 30-60-90 Special Right Triangles to Solve. find the missing sir length. Leave you answers as radicals in simplest form

Answers

Answer:1) y=20,x=20√2,2) a=12,b=6

Step-by-step explanation:

The whole lesson is for you to memorize these triangles. They will test you on them till you graduate from university !!

Need help with Radical Rational Exponents and with work plz.

Answers

Your answer is 4 I believe

two negative integers are 8 units apart on the number line and have a product of 308. which equation could be used to determine x, the smaller negative integer? x2 8x – 308

Answers

The equation that could be used to determine x is ([tex]x^{2}[/tex] + 8x - 308).

As per the question, the small integer is x. So, the large integer will be (x + 8).

Also, the question mentions that their product is 308. Representing the given information in mathematical equation form -

x (x + 8) = 308

Performing multiplication on Left Hand Side of the equation

x² + 8x = 308

Shifting 308 from Right Hand Side to the Left Hand Side of the equation. the equation that will form is -

x² + 8x – 308 = 0

On solving this quadratic equation, we will get the negative numbers, which will validate our formed equation.  

x² + 8x – 308 = 0

x² + 22x - 14x – 308 = 0

x (x + 22) - 14 (x + 22) = 0

(x + 22) (x - 14) = 0

x = -22 and 14

Since the numbers are negative, hence, value of small number is -22.

Large number = -22 + 8

Large number = -14

Thus, the small and large number is -22 and -14.

Therefore, the correct equation is x² + 8x – 308 = 0.

Learn more about problems on product of integers -

https://brainly.com/question/19258349

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The complete question is -

Two negative integers are 8 units apart on the number line and have a product of 308. Which equation could be used to determine x, the smaller negative integer? x² + 8x – 308 = 0 x²  – 8x + 308 = 0 x²  + 8x + 308 = 0 x²  − 8x − 308 = 0

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP SHOW YOUR WORK


1. -2 ¼ ÷1 ¼

Answers

Answer:

-1/2 Brainliest me please

Step-by-step explanation:

1/4+1/4= 0.5

-2 + 1 = -1

0.5+(-1) = -0.5

-0.5 as a fraction Is -1/2

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