1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RideAnS [48]
3 years ago
15

Solve the following system of liner equations:

Mathematics
2 answers:
nexus9112 [7]3 years ago
3 0
First we get the value of y in terms of x

We have 2x + y + 9 = 0

We transpose 2x and 9 to the other side so we could get the value of y being:
y = - 2x - 9

Now that we have the value of y we can substitute it to the first equation
6x - 3y + 10 = 0
6x - 3 (-2x - 9) + 10 = 0
Simplifying the inside of the parentheses we would have
6x - (3)(-2x) - (3)(-9) + 10 =0
6x + 6x + 27 + 10 = 0

Combining similar terms we would get
12x + 37 = 0
We transpose 37 to the other side for easier simplification
12x = - 37
We divide both sides by 12 to get the value of x
12x/12 = - 37/12
Since 12/12 is equal to 1 our value of x would be
x = - 37/12
Or simply x = - 3.0833

Now that we know the value of x we can use it to obtain the value of y
y = - 2x - 9
y = - 2(-37/12) - 9
y = 37/6 - 9
y = - 17/6
Or in decimal y = - 2.8333

Final values of x and y would be
x = - 3.0833
y = - 2.8333
crimeas [40]3 years ago
3 0

Answer:

The solution of this system of equations : (-3.08,-2.84)

Step-by-step explanation:

Given : 6x-3y+10=0\\\\2x+y+9=0

To Solve : system of liner equations

Solution :

We are given the equations :

6x-3y+10=0 -----(a)

2x+y+9=0    -----(b)

Now, solve these equatons using substitution method

Substitute the value of (y) from b in (a)

⇒6x-3(-9-2x)+10=0

⇒6x+27+6x)+10=0

⇒12x+27+10=0

⇒12x+37=0

⇒x = \frac{-37}{12}

⇒x = -3.08

Now to find value of y

put this value of x in equation (b)

⇒2(-3.08) + y + 9 = 0

⇒-6.16+ y + 9 = 0

⇒2.84+y=0

⇒y = -2.84

Thus the solution of this system of equations : (-3.08,-2.84)

You might be interested in
I need math help. If youre solving a geometric sequence, the equation needed is An=A1Rn-1. If A1= 5 and R= -2. My question was "
CaHeK987 [17]

Answer:

Step-by-step explanation:

an = a1 * r^(n - 1)

a1 = first term = 5

r = -2

n = nth term of the sequence

so it starts with 5

second term is :

an = a1 * r^(n - 1)......for second term

a2 = 5 * -2^(2 - 1) =

a2 = 5 * -2^1

a2 = 5 * -2

a2 = -10

an = a1 * r^(n - 1)....looking for a3

a3 = 5 * -2^(3 - 1)

a3 = 5 * -2^2

a3 = 5 * 4

a3 = 20

an = a1 * r^(n - 1)....looking for a4

a4 = 5 * -2^(4 - 1)

a4 = 5 * -2^3

a4 = 5 * -8

a4 = - 40

an = a1 * r^(n - 1)...looking for a5

a5 = 5 * -2^(5 - 1)

a5 = 5 * -2^4

a5 = 5 * 16

a5 = 80

an = a1 * r^(n-1)...looking for a6

a6 = 5 * -2^(6 - 1)

a6 = 5 * -2^5

a6 = 5 * -32

a6 = -160

4 0
4 years ago
If a = 3 and b = 2, what is the value of the expression 11 + a - b ?
Vadim26 [7]
Substitute the values of a and b into the expression:
11 + 3 - 2
Add first because of order of operations (perform addition and subtraction in the order of occurrence from left to right):
14 - 2
Subtract (same justification as above just with subtraction instead):
12
Hope this helps!
4 0
3 years ago
I need help asap, please!<br><br> i 4 = 1<br><br> A. True<br> B. False
rodikova [14]
If u mean i^4=1
then it is true
3 0
3 years ago
What percent of the bottle of orange juice is water? <br><br> ___% water
cestrela7 [59]
<h2>88 % water</h2>

Orange juice that is 100 % orange juice is usally 88 % water

7 0
3 years ago
Read 2 more answers
Find the zeros of the function p(x) = -9x^2 + 1
morpeh [17]

Answer:

Zeros: 1/3 and -1/3

Step-by-step explanation:

You can solve this for the zeros by using the factoring method:

p(x) = (-3x-1)(3x-1)

Then, you take each factored equation and set it equal to zero:

-3x-1=0

3x-1=0

Then, solve for zero:

-3x=1    x=-1/3

3x=1     x=1/3

Your zeros are 1/3 and -1/3.

8 0
3 years ago
Other questions:
  • Convert the decimal to a percent.
    11·1 answer
  • 104 km= m? metric conversions104 km= m? metric conversions Follow 8 answers 8 Report Abuse Are you sure you want to delete this
    6·1 answer
  • Help with the following attachment
    10·1 answer
  • OK this id just for fun but how many holes are in A Polo
    11·2 answers
  • By definition,<br> |a + bi| =
    6·1 answer
  • A car travels 312 miles in the same time that a motorcycle traveled 272. If the cars speed is 10mph more than the motorcycles, f
    14·1 answer
  • Xavier fills a rectangular prism with 12-centimeter cubes. The base of the prism measures 5 centimeters by 3 centimeters, and th
    5·2 answers
  • An architect is designing square windows with an area
    15·1 answer
  • Gina will pay $14 for fabric at a crafting store. The tax rate is 8.5%. How much will she pay for her fabric including tax?
    5·1 answer
  • Please answer the question
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!