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
horrorfan [7]
2 years ago
8

Solve each pair of simultaneous equations giving both solutions. You need to multiply both equations by suitable numbers before

adding \subtracting to eliminate.
a) 6x - 7y = 9
3x + 2y = 54

b) 4x - 5y = 12
2x - 3y = 8


c) 4x - 2y = 28
3x + 3y = 12
please work it out and clear. who ever answer give them brainlest answer​
Mathematics
1 answer:
Vladimir79 [104]2 years ago
6 0

Answer:

a) x = 12  y = 9

b) x = -2   y = -4

c) x = 6   y = -2

Step-by-step explanation:

a)

Equation 1:  6x - 7y = 9

Equation 2:  3x + 2y = 54

Multiply Equation 2 by 2:

⇒ 6x + 4y = 108

Subtract equations:

   6x + 4y = 108

<u>-    6x - 7y = 9      </u>

           11y = 99

Divide both sides by 11:

⇒ y = 9

Substitute found value of y into Equation 1 and solve for x:

⇒ 6x - 7(9) = 9

⇒ 6x - 63 = 9

⇒ 6x = 72

⇒ x = 12

---------------------------------------------------------------------------------------------------

b)

Equation 1:  4x - 5y = 12

Equation 2:  2x - 3y = 8

Multiply Equation 2 by 2:

⇒ 4x - 6y = 16

Subtract equations:

   4x - 6y = 16

<u>-   4x - 5y = 12      </u>

           -y = 4

Divide both sides by -1:

⇒ y = -4

Substitute found value of y into Equation 1 and solve for x:

⇒ 4x - 5(-4) = 12

⇒ 4x + 20 = 12

⇒ 4x = -8

⇒ x = -2

---------------------------------------------------------------------------------------------------

c)

Equation 1:  4x - 2y = 28

Equation 2:  3x + 3y = 12

Multiply Equation 1 by 3:

⇒ 12x - 6y = 84

Multiply Equation 2 by 4:

⇒ 12x + 12y = 48

Subtract equations:

     12x - 6y = 84

<u>-   12x + 12y = 48   </u>

            -18y = 36

Divide both sides by -18:

⇒ y = -2

Substitute found value of y into Equation 1 and solve for x:

⇒ 4x - 2(-2) = 28

⇒ 4x + 4 = 28

⇒ 4x = 24

⇒ x = 6

You might be interested in
20 POINTS SIMPLIFY THE POLYNOMIAL
guajiro [1.7K]
A is the answer. I hope that helps
3 0
3 years ago
Find the 8th term<br> -10, -4, 2, 8, 14, ...<br> Formula: <br> Arithmetic or Geometric:
KatRina [158]

Answer:

20 will be next

Step-by-step explanation:

because the formula is +6

8+6=14

14+6=20

4 0
3 years ago
the point-slope form of the question of the line that passes through (-4,-3) and (12,1) is y-1=1/4(x-12). what is the standard f
Alexeev081 [22]
Well first off you multiply the parenthesis 1/4(x-12) you get -1=1/4x-3 then you subtract the one so now the y can be by itself the you get Y=1/4x-2
5 0
3 years ago
Bruno and Willie need a total of $50,000 to start an accounting business. Bruno has spent a lot of time getting the business set
Gnom [1K]

The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.

Let amount contributed by Willie be x

Let amount contributed by Bruno be y

Since Willie agreed to contribute $12,000 more than Bruno;

Therefore;

  • x - y = 12000....…....... equation (1)

  • x + y = 50,000...…....... equation (2)

By solving the system of equations simultaneously;

  • 2x = 62000

  • x = 31000

  • and y = 50,000 - 31000

  • y = 19,000

In essence; The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.

Read more:

brainly.com/question/23612222

5 0
3 years ago
COULD YALL PLEASE HELP ME WILL GIVE CROWN!!!
bixtya [17]
3x+12x+5x=180
20x=180
X=9
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the answer to this <br> 25=-7(x+5)+5x
    10·2 answers
  • Use the diagram attached below. Find the straight distance between the zoo and movie theater.
    14·1 answer
  • Which equation represents a line that passes through the two points in the table?
    9·1 answer
  • Help me with this i dont really get it
    8·1 answer
  • What will be the sum of an integer and its additive inverse​
    12·1 answer
  • What is a standard transmission
    14·1 answer
  • All positive integers whose digits add up to 11 are listed in increasing order: 29, 38, 47, ... What is the eleventh number in t
    12·1 answer
  • There are 1420 students enrolled at Senn. If 60% of these students walk to school, how many students are walking to school?
    11·2 answers
  • will give brainliest to the person with the most detailed answer. That means tell me how you got ur answer. And the person who a
    9·1 answer
  • Given that f(–2.4) = -1 and f(-1.9) = -8, approximate<br> f'(-2.4).<br> f'(-2.4)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!