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
nikitadnepr [17]
3 years ago
5

Solve each system of equations by writing a new system that eliminates one of the variables.

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0

Answer:

x=2\\y=-1

Step-by-step explanation:

Let:

3x+2y=4\hspace{5}(1)\\and\\4x+7y=1\hspace{5}(2)

We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 4 and (2) by 3:

4*(1)\equiv\hspace{5}12x+8y=16\\3*(2)\equiv\hspace{5}12y+21y=3

Now subtract 3*(2) from 4*(1) in order to eliminate x:

4*(1)-3*(2)\\12x-12x+8y-21y=16-3\\-13y=13

Solving for y:

Multiplying both sides by -1/13  

y=-\frac{13}{13} =-1

Finally, replacing the value of y in (1)

3x+2*(-1)=4

Solving for x:

add 2 to both sides:

3x=6

Multiply both sides by 1/3:

x=\frac{6}{3} =2

You might be interested in
You receive an $80 gift card to a bookstore. Hardback books cost $8 and paperbacks cost $4. Which graph below represents this si
Natasha2012 [34]
The answer is D i had a similar question
6 0
2 years ago
What is -23/6 - 7/3<br>A-37/6<br>B-30/9<br>C-16/6<br>D37/6​
8_murik_8 [283]

Answer:

A

Step-by-step explanation:

i solved it

7 0
3 years ago
Wat is 7x² + 4x - 5= 0
frosja888 [35]
Answer and workings in the attachment below.

4 0
3 years ago
Read 2 more answers
How to find the area of a triangle with three points in 3d?
Otrada [13]
Again u just have to meaiuse
8 0
3 years ago
What integer is equal to 5!×2!?​
Wewaii [24]

Answer:

240

Step-by-step explanation:

! means factorial or to multiply by the previous number down to one so 5!=5*4*3*2*1=120 120*2=240.

5 0
3 years ago
Other questions:
  • What would my GPA be? Here are my grades.
    8·1 answer
  • Write an integer to represent the following situation: Earnings 15 dollars
    12·1 answer
  • A soft drink manufacturer produces 3408 cans in an 8-hour day. Cans are packaged 24 to a case. How many cases are produced each
    15·1 answer
  • What is 28a^11b^7 divided by 4a^3b?
    13·1 answer
  • Please answer a a a a a a a a
    13·1 answer
  • What is meaning of rate?
    6·2 answers
  • What is the volume of the right cylinder?
    13·1 answer
  • On a rectangular hyperbola, if one point is (2, 3) and y varies inversely to x, find y when x is 6.
    13·1 answer
  • A right triangle has side lengths that are consecutive interest and a perimeter of 12 feet what are the angles of the triangle
    9·1 answer
  • What is 6920 divided by 4
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!