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
Reika [66]
2 years ago
14

Solve the given system of equations. 2y= -x+9 , 3x-6= -15

Mathematics
1 answer:
poizon [28]2 years ago
8 0

Answer:

<h2>x = -3, y = 6 → (-3, 6)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}2y=-x+9\\3x-6=-15&\text{add 6 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}2y=-x+9\\3x=-9&\text{divide both sides by 3}\end{array}\right\\\left\{\begin{array}{ccc}2y=-x+9\\x=-3\end{array}\right\qquad\text{put the value of x to the first equation}\\\left\{\begin{array}{ccc}2y=-(-3)+9\\x=-3\end{array}\right\\\left\{\begin{array}{ccc}2y=3+9\\x=-3\end{array}\right\\\left\{\begin{array}{ccc}2y=12&\text{divide both sides by 2}\\x=-3\end{array}\right\\\left\{\begin{array}{ccc}y=6\\x=-3\end{array}\right

You might be interested in
Negative nine is greater than the sum of fifteen and two times a number.​
Ugo [173]

Answer:

-9>2x+15

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help-help-help
disa [49]
I think the answer is C
3 0
2 years ago
Omar has 2 3/4 cups of dough to make dumplings. If he use 3/16 cup of dough for each dumpling, how many whole dumplings can Omar
andrey2020 [161]

Answer:

14

Step-by-step explanation:

Omar can make 14 whole dumplings. You change 2 3/4 cups to an improper fraction ( multiply the denominator and add the numerator ) and you get 11/4. Since you need 3/16 cups for one dumpling you have to find the greatest common denominator which is 16. You multiply 4 by 11 to get the numerator and end up with 44/16. Since you need 3/16 for one whole dumping you divide 44 by 3 and get 14.6 repeating. You cannot have a fraction of a dumpling so you round down and get the answer 14.

5 0
3 years ago
A fish tank that is 5 feet long by 3 feet wide by 3 feet high has a 2 foot cubic stone placed in the bottom how much water will
maks197457 [2]

Answer:

37ft³

Step-by-step explanation:

Volume of the fish tank = length × width × height = 5ft × 3ft × 3ft = 45ft³

Volume of the cubic stone = length × length × length = (2ft)³ = 8ft³

Volume of the water = volume of the fish tank - volume of the cubic stone

i.e Volume of the water = 45ft³ - 8ft³ = 37ft³

4 0
3 years ago
Find the value of y when x equals -1.<br><br> 8x - 2y =10
Artyom0805 [142]

Answer:

y = - 9

Step-by-step explanation:

Substitute in -1 for x

8(-1) - 2y = 10

-8 - 2y = 10

Subtract -8 from both sides

-8 - (-8) cancels out to 0

10 - (-8) = 18

We are left with:

-2y = 18

Divide by -2 on both sides.

-2y/-2 = y

18/-2 = -9

y = -9

6 0
2 years ago
Other questions:
  • Ricky, Sam, and Timothy cycles from Airy Town to Brightvale which was 9km apart. Ricky cycles at a constant x km/h. Sam cycled a
    15·1 answer
  • The price of an item has been reduced by 85%. the original price was $35 find price of item.
    15·1 answer
  • Which shape is always a parallelogram<br> (Pentagon,trapezoid,rhombus,or triangle
    8·2 answers
  • What is the complete factorization of x2 + 4x - 45?
    10·1 answer
  • How to do this part
    7·1 answer
  • A particle travels along a straight line with a velocity of v(t) = e^t cos(3t) meters per second. What is the total distance, in
    5·1 answer
  • Calculate the finance charge and new balance using the previous balance method.
    10·1 answer
  • Find the solutions to the equation below check all the apply 5x^2+7x-5=0​
    10·2 answers
  • Which statement is true about a trend line?
    10·1 answer
  • Evaluate the following expressionsYour answer must be an exact angle in radians and in the interval Example: Enter pi/6 for lcei
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!