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
Nikolay [14]
3 years ago
13

Using substitution x+3y=3 3y-2x=12

Mathematics
2 answers:
Anettt [7]3 years ago
6 0

Answer:

x = -3

y = 2

Step-by-step explanation:

Ok this is a long one but bear with me lol, i promise i will make it easy to understand, performing one step at a time.

So we are given 2 equations right? We can take any of these one equation and isolate any one variable, either x or y, I will take the first equation and isolate x from it cuz it's the easiest way;

=> x + 3y = 3

=> x = -3y + 3 (Let's pretend this is not an equation for x but a "value")

Now that we have the x isolated from first equation, we can substitute x "value" in for the x in second equation. To solve for y;

=> 3y - 2 (-3y + 3) = 12

=> 3y + 6y - 6 = 12

=> 9y - 6 = 12

=> 9y = 12 + 6

=> 9y = 18

=> y = 18/9

=> y = 2

At this point we are almost done with the question! So since we got a real value for one of our variable (which in this case is y-value), we can substitute that in any of the given equation, We can also use the equation where in we isolated "x", so I'll use that cuz it's gonna require less steps, to find the real x-value:

=> The equation we found out up there is: x = -3y + 3

=> Now just simply substitute the y-value we figured in the equation above:

=> x = -3y + 3

=> x = -3(2) + 3

=> x = -6 + 3

=> x = -3

Ayee we did it lol so the final answer would be:

x = -3

y = 2

I really hope this made sense, and that it helps!

frez [133]3 years ago
4 0

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u>

  • x + 3y = 3
  • 3y - 2x = 12

And we need to solve the equation using Substituting method . So on taking the first equation ,

\rm\implies x + 3y = 3 \\\\\rm\implies x = 3 - 3y

<u>Put </u><u>this</u><u> </u><u>value</u><u> </u><u>in </u><u>(</u><u>ii)</u><u> </u><u>:</u><u>-</u><u> </u>

\rm\implies 3y - 2x = 12 \\\\\rm\implies 3y - 2(3-3y)=12\\\\\rm\implies 3y -6-6y = 12 \\\\\rm\implies -3y = 18 \\\\\rm\implies y = -6

<u>Put </u><u>this</u><u> </u><u>Value</u><u> </u><u>in </u><u>(</u><u>I)</u><u> </u><u>:</u><u>-</u><u> </u>

\\\\\rm\implies x = 3-3*-6 \\\\\rm\implies x = 3+18 \\\\\rm\implies x = 21

<u>Hence</u><u> the</u><u> </u><u>Value</u><u> </u><u>of </u><u>x </u><u>is </u><u>2</u><u>1</u><u> </u><u>and </u><u>y </u><u>is </u><u>(</u><u>-</u><u>6</u><u>)</u><u> </u><u>.</u>

You might be interested in
In what quadrant would the ordered pair (-6, -9) be located?<br><br> I<br> II<br> III<br> IV
RoseWind [281]
It would be the 3rd option

8 0
3 years ago
Read 2 more answers
What is the slope of the line given by the equation y = 12x?
FrozenT [24]

Answer:

up 12 over 1

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The surface area of a rectangular prism is 32 square inches. The volume of the prism is 12 cubic inches. The sum of all edge len
Goryan [66]

Answer:

36 cubic inches.

Step-by-step explanation:

Let the length, width and height of the rectangular prism are a, b, c respectively.

So, surface area, 2(ab + bc + ca) = 32 {Given} ............ (1)

Volume, abc = 12 {Given} ............ (2)

And, the sum of all the edges, 4(a + b + c) = 28 {Given} .......... (3)

Now, if the length width and height are increased by 1 inch, then the volume of the prism will be = (a + 1)(b + 1)(c + 1)

= abc + (ab + bc + ca) + (a + b + c) + 1

= 12 + 16 + 7 + 1 {From equations (1), (2) and (3)}

= 36 cubic inches. (Answer)

3 0
3 years ago
Tell which number is greater.<br><br> 1/3, 30%
Olin [163]
Mhm pretty sure 1/3
8 0
3 years ago
B -5 ≥ -45 answer and steps
Natalka [10]

Answer:

-50

Step-by-step explanation:

b-5 \geq -45

b-5 = -45 ( collect like terms)

b = -45 + -5

b = -45 -5  b = -50

8 0
2 years ago
Other questions:
  • If there was 100 birds on a nest and a killer kills one how much are left on the nest?
    7·2 answers
  • Demarco wrote two correct variable expressions to represent the phrase “the product of a number and 7.” Which of these variable
    8·1 answer
  • What is 3m+5-5m+14m=-13
    5·1 answer
  • How do you simplify(n!)^2/(n+1)!(n-1)!
    13·1 answer
  • Instructions:Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
    5·2 answers
  • 6(2x-1)-12=3(7x+6<br> Please help ALGEBRA
    9·1 answer
  • BONUS BONUS BONUS<br> i will mark brainliest
    5·1 answer
  • Tyler and his children went into a bakery and will buy cupcakes and donuts. He must buy a maximum of 11 cupcakes and donuts alto
    5·2 answers
  • What is the equation of the line that is perpendicular to y=-3x+1 that passes through the point (9,0)?
    11·1 answer
  • QUESTION 10 of 10: Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a mon
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!