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
inna [77]
3 years ago
6

Solve the system of linear equations using multiplication.

Mathematics
2 answers:
Anna71 [15]3 years ago
5 0

Answer:

(8,-1)

Step-by-step explanation:

The given system is:

3x+3y=21

6x+12y=36

Since I prefer to use smaller numbers I'm going to divide both sides of the first equation by 3 and both sides of the equation equation by 6.

This gives me the system:

x+y=7

x+2y=6

We could solve the first equation for x and replace the second x with that.

Let's do that.

x+y=7

Subtract y on both sides:

x=7-y

So we are replacing the second x in the second equation with (7-y) which gives us:

(7-y)+2y=6

7-y+2y=6

7+y=6

y=6-7

y=-1

Now recall the first equation we arranged so that x was the subject. I'm referring to x=7-y.

We can now find x given that y=-1 using the equation x=7-y.

Let's do that.

x=7-y with y=-1:

x=7-(-1)

x=7+1

x=8

So the solution is (8,-1).

We can check this point by plugging it into both equations.

If both equations render true for that point, then we have verify the solution.

Let's try it.

3x+3y=21 with (x,y)=(8,-1):

3(8)+3(-1)=21

24+(-3)=21

21=21 is a true equation so the "solution" looks promising still.

6x+12y=36 with (x,y)=(8,-1):

6(8)+12(-1)=36

48+(-12)=36

36=36 is also true so the solution has been verified since both equations render true for that point.

nikitadnepr [17]3 years ago
5 0

3x + 3y = 21

6x + 12y = 36

\frac{6x + 12y=36}{6} \\\\x+2y=6\\\\x=6-2y\\----------\\3(6-2y)+3y=21\\\\18-6y+3y=21\\\\18-3y=21\\\\-1(-3y=3)\\\\3y=-3\\\\y=-1

3x+3y=21\\\\3x+3(-1)=21\\3x-3=21\\3x=24\\x=8

x = 8 and y = -1

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

You might be interested in
How many wholes are there in 71/8 in a fraction
kipiarov [429]
There would be 8 whole(s) in total.
4 0
3 years ago
Read 2 more answers
What is 19 × 10 I need help please
AleksAgata [21]
It's 190 it's easy bro
3 0
3 years ago
Read 2 more answers
Please help with this problem <br> thanks so much
Lunna [17]

Answer:

5/17

Step-by-step explanation:

If we do the multiplication first, we get:

\frac{4-(12\div-12)}{13+(-8\div-2)}

If we do the division next, we get:

\frac{4+1}{13+4} = 5/17

4 0
2 years ago
Orange Juice is a common breakfast drink that contains citric acid. If the hydronlum lon
Natali [406]
Um this is a chemistry question, you should probably put it in the chemistry section.
5 0
2 years ago
Find the value of x
baherus [9]

Answer: x=58

Step-by-step explanation:

We know that the entire angle equals 360 degrees

Let’s subtract 293 from 360

360- 293 = 67

Then let’s subtract 44 from 67 to get (x-35)

67 - 44 = 23

We now know that 23 = (x - 35), so let’s write and solve the equation for it

23 = x-35

Add 35 on each side

X = 58

3 0
3 years ago
Other questions:
  • To convert a distance of 2200 yards to miles, which ratio could you multiply by? Remember that 1 mile=1760yards
    11·2 answers
  • Solve 235 + 123 on a number line
    8·1 answer
  • How do I find simple interest rate
    10·1 answer
  • Lin come complete 30 math problems in 2 hours. how do i make an expression for that
    8·1 answer
  • Which linear inequality is represented by the graph?<br> HELPPPP!!!
    13·1 answer
  • What is the answer for -5(3x-9)=2(x-63)-33?
    10·1 answer
  • A $120.00 pair of shoes at your nearby department store is marked up 4% and then is offered at 45% off. If sales tax is 13%, wha
    15·1 answer
  • 3(x+5) = 7x + 12 - 4x + 3.
    6·1 answer
  • Given: m/-3+10=-1; prove: m=33 , what are the reasons??
    8·1 answer
  • What is -7+4m+10=15-2m=
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!