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
-Dominant- [34]
2 years ago
10

Solve the system of equations by the addition method. 1 - 3x = -5y - 8 6x 3y = -5

Mathematics
1 answer:
Advocard [28]2 years ago
3 0

-3x = -5y -8~~~....(i) \\\\6x -3y = -5 ~~......(ii)\\\\\text{Multiply  equation (i) by 2 and do (i) + (ii):}\\\\2 \cdot (-3x) + 6x  -3y = 2(-5y-8)  + (-5)\\\\\implies -6x +6x -3y = -10y -16 -5 \\\\\implies -3y   = -10y -21\\\\\implies -3y +10y =-21\\\\\implies 7y = -21 \\\\\implies y = -\dfrac{21} 7 = -3\\\\\text{Substitute}~y =-3~ \text{in equation (ii):} \\\\6x - 3(-3) = -5\\\\\implies 6x +9  = -5\\\\\implies 6x = -5 -9 = -14\\\\\implies x = -\dfrac{14}6 = - \dfrac{7}3\\

\text{Hence}~ (x,y) = \left(-\dfrac 73, -3 \right)

You might be interested in
Add. Express your answer as a fraction. Do not include spaces in your answer.<br> 5/1/4+15.5
MAVERICK [17]

Answer:

The answer is 20/3/4(without spaces) or 20 3/4.

Step-by-step explanation:

7 0
2 years ago
The product of a number and -7 gives seven times the sum of that number and -40. Find the number
Ymorist [56]
Let the unknown number be x.

x × -7 = 7 (x + -40)

-7x = 7x - 280

-14x = -280

x = 280/14

x = 20

Hope this helps!
4 0
3 years ago
I WILL MARK BRAINLIEST :]
Maurinko [17]

Answer:

A. . A cheeseburger is $7.95 plus $1.00 for each additional topping.

Step-by-step explanation:

6 0
2 years ago
How do you write 283,980 in expanded form
kramer
Enjoy
200,000 + 80,000 + 3,000 + 900 + 80
6 0
3 years ago
Read 2 more answers
Simplify using the laws of exponents (4^3)^-2 × (2^3)^4 ×(8/15)^-2​
katrin2010 [14]

Answer:

\dfrac{225}{64}

Step-by-step explanation:

(4^3)^{-2} \times (2^3)^4 \times (\dfrac{8}{15})^{-2} =

= (2^2)^{-6} \times 2^{12} \times (\dfrac{15}{8})^{2}

= 2^{-12} \times 2^{12} \times \dfrac{225}{64}

= \dfrac{225}{64}

8 0
3 years ago
Other questions:
  • A triangle contains angles measuring 25° and 75°. How many degrees is the third angle?
    10·2 answers
  • Determine whether (6,4) is a solution to the following system of linear equations: x + y=10.....x-y=-2*
    6·1 answer
  • What are the solutions to the inequality (x-3)(x+5) ≤ 0
    12·2 answers
  • How many solutions does this system of equations have?
    13·2 answers
  • Doug is 2 more than twice the age of Joey.<br> The sum of their ages is 74. How old is Doug?
    12·1 answer
  • Terri buys five and seven eighths ounces of chocolate chips. She uses four and four sixths ounces in a recipe. How many ounces o
    11·2 answers
  • Is the Function exponential?
    12·1 answer
  • Sup peeps<br> Can someone find the area of this plz
    13·1 answer
  • Please help ASAP taking test difficulty on hard mode
    13·1 answer
  • What is 6÷2(1+2)<br><br>someone help ​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!