Solve the system of equations 4x – 9y = 5 and 8x - y = -7 by combining the
equations.

Answers

Answer 1

Answer:

x=2 and y=0.

Step-by-step explanation:

Answer 2

Answer:

[tex]x=-1,\\y=-1[/tex]

Step-by-step explanation:

We can write the following system of equations as given:

[tex]\begin{cases}4x-9y=5\\8x-y=-7\\\end{cases}[/tex].

Multiply the first equation by [tex]-2[/tex] then add both equations to solve for [tex]y[/tex]:

[tex]\begin{cases}-8x+18y=-10\\8x-y=-7\\\end{cases},\\17y=-17,\\y=\fbox{$-1$}[/tex].

Now plug in [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:

[tex]8x-(-1)=-7,\\8x+1=-7,\\8x=-8,\\x=\fbox{$-1$}[/tex].

Verify that the solution pair [tex](-1,-1)[/tex] works [tex]\checkmark[/tex]


Related Questions

y = - x + 4 y = 2x - 8​

Answers

Answer:

{y,x} = {0,4}

Step-by-step explanation:

// Solve equation [2] for the variable  y  

 

 [2]    y = 2x - 8

// Plug this in for variable  y  in equation [1]

  [1]    (2x-8) + x = 4

  [1]    3x = 12

// Solve equation [1] for the variable  x  

  [1]    3x = 12  

  [1]    x = 4  

// By now we know this much :

   y = 2x-8

   x = 4

// Use the  x  value to solve for  y  

   y = 2(4)-8 = 0

^^ the person above had the same answer as me! have a good day!

The hypotenuse of a 45 degrees - 45 degrees - 90 degrees triangle is 5sqrt(6) Find the length of one leg of the right triangle

Answers

Answer:

Step-by-step explanation:

let the length of a leg of right angled associate triangle=x

x²+x²=(5√6)²

2x²=150

x²=150/2=75

x=√75=5√3

I need help with math pls

Answers

The answer is 6

Explanation:

Which quadratic equation has roots -7 and 3/2 ?

Answers

Answer:

If the discriminant of the quadratic equation is zero then it will have 2 equal roots.

If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots.

If the discriminant of the quadratic equation is less than zero then it will have no roots.

Step-by-step explanation:

hope this helped

What is the coefficient of the x^2-term of the product

Answers

Answer:

it's x

Step-by-step explanation:

x is what is being raised by 2

Answer:

1

Step-by-step explanation:

The coefficient of x^2 is 1 because there is no real number in front of it

Hope this helped! Please mark me brainliest!

1. How would you describe the strugure of the Yavapai-Apache Nation's government? 2. What is one check or balance mentioned in this section of the constitution?


I will give brainliest​

Answers

How would you describe the structure of the Yavapai-Apache Nation's government? They have three different branches of government; similar to the US federal government. ... They have a chairman, vice chairman, and nine members of their Tribe Council, each are consisted of popular votes among different districts.

what is this answer?​

Answers

Answer:

the answer is h=9

Step-by-step explanation:

the answer is h=9

27/3=9

The second angle of a triangle is three times as large as the first angle. The third angle is 40° greater than the first angle. How large are the angles?

Answers

30 70 90 are the angles of the triangle hope this is helpful

The table below represents Mark's assets and liabilities.
Item
Value
Pocket Money
$18
Checking Account Balance $45
Loan from friend
$14
Check for mowing lawn $25
What is the total of Mark's liabilities?
O $39
O $25
O $18
O $14

Answers

Answer:

18

Step-by-step explanation:

3x + 4y + 4 > 0

how would i solve this?

Answers

y > -3x/4 - 1

^ put that into a graph

MATH PROBLEM PLEASE HELP I HAVE THE PIC OF THE PROBLEM I WILL GIVE YOUI BRAINLIEST

Answers

Answer:

79.4

Step-by-step explanation:

(85+90+68+75+79) / 5 =79.4

what is the inverse f(x)=1/5x

Answers

Answer:

F = 1/5

Step-by-step explanation:

The answer for your equation is 1/5x

What are the coefficients of this expression? x + y + 2​

Answers

Answer:

1

Step-by-step explanation:

Since the variables dont have any numbers next to them, 1 is the coefficient for x and y

$200 at 6% for 10 years find the interest and find the balance of the account

Answers

Answer:

358

Stefffffffffffffffffffffffffffp-by-step explanation:

Is 5/9 closer to 1, 1/2, or 1?

Answers

Answer:

Closer to 1/2

Step-by-step explanation:

Half of 9 is 4.5 and 5 is .5 away from half and to make this 1 it needs to be 9/9 which is 4 away.

Answer:

1/2

Step-by-step explanation:

Half of 9 is 4.5/9, and 5/9 is closer to 4.5/9 than 9/9(or 1)

fine the slope of the table below

Answers

I think the answer is b -3.

Thank me by clicking on the ❤️. Thanks!

What is a factor that is less than 1?

Answers

Answer:

none

Step-by-step explanation:

For a field trip 4 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 472 students
were on the trip?

1a. What does the variable "x" represent?

1b. What equation represents this word problem?


1c. What is the solution to the word problem?


(Please help me with this quiz)

Answers

Step-by-step explanation:

We are solving for the number of students in each bus, so let x represent the number of students in each bus.

We have 4 + 9x = 472.

=> 9x = 468, x = 52.

Hence there are 52 students on each bus.

Please help Im confused

Answers

Answer is 40

15/3 = 5
8 x 5 = 40

Answer:

x=40

Step-by-step explanation:

to get from 3 to 15, you multiply by 5

multiply 8 by 5 and you get 40

x is 40

please give me brainliest!!<3

Find the roots of h(t) = (139kt)^2 − 69t + 80
the smaller root is:
the larger root is:

The answers will consist of algebraic expressions containing the parameter k.

What positive value of k will result in exactly one real root?
K = ?

Answers

Answer:

The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let [tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex], roots are those values of [tex]t[/tex] so that [tex]h(t) = 0[/tex]. That is:

[tex]19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0[/tex] (1)

Roots are determined analytically by the Quadratic Formula:

[tex]t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}[/tex]

[tex]t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex]

The smaller root is [tex]t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex], and the larger root is [tex]t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex].

[tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex] has one real root when [tex]\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0[/tex]. Then, we solve the discriminant for [tex]k[/tex]:

[tex]\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}[/tex]

[tex]k \approx \pm 0.028[/tex]

The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.

Helpppppp Fast!!!!!!!!!!!!

Answers

Answer:

1 1/3 feet by 3 feet

Step-by-step explanation:

1 1/3 by 3 feet hope I helped ;)

slope of the line (-3,-6) and (4,1)

Answers

Answer:

- 5 / 7

Step-by-step explanation:

1 - 6 = - 5

4 - - 3 = 7

ANSWER QUICKLY

what are 2 things you are allowed to assume for proofs if the picture show for congruency

Answers

Answer: 1. Perpendicular 2. Bisector 2. Perpendicular Bisector Theorem 3.

Step-by-step explanation:

_____consists of activities that are
not required as part of one's formal
role in the organization
Select one:
a. None of the above
b. Lobbying
c. Influence
d. Political behaviour

= Political behaviour ​

Answers

Step-by-step explanation:

political behaviour consists of activities that are

not required as part of one's formal

role in the organization

All of the following would make a formal proof incomplete except what?
A) A lack of justifications
B) Incomplete sentences
C) Errors in logic
D) Incorrect reasons for statements
Urgent I need this for tonight please!!!

Answers

Answer:

b incorrect sentences

Step-by-step explanation:

got it right on my test

A rugby team had 45 players show up for tryouts last year. This year 60 players came to tryouts. What was the percent increase in the number of players that showed up this year compared to last year?

Question 5 options:

33%


133%


75%


175%

Answers

Answer:

60-45= 15

15/45= 0.33

0.33 X 100 = 33%

When you plugged in your phone you had 36% left on your battery. It took 25 minutes to rwach 100% charge. What is the constant rate of change of % charge per minute?​

Answers

Answer:

0.390%

Step-by-step explanation:

100-36=64

25÷64=0.390625

Answer:

2.6

explanation:

100-36=64

64/25= 2.6

What is 4/5 divided by 1/2

Answers

Answer:

4/5 / 1/2=1 3/5

Step-by-step explanation:

4/5 divided by 1/2 is 1 3/5

which of the following are functions.

Answers

Answer:

Graph ii and iii

Step-by-step explanation:

In graph ii and iii, every input has one and only output. Another way to check is by doing the vertical line test.

The answer is
ii and iii

Is the number of increments in part B positive or negative?

Answers

positive

Step-by-step explanation:

Answer:

The number of increments is positive.

Step-by-step explanation:

got it on edmentum :)

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