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
Find the midpoint of the line segment joining the points ​R(​-4,3​) and ​S(​5,6​)
N76 [4]

Answer:

MP=(0.5,4.5)

Step-by-step explanation:

USE THIS FORMULA:

M=(x1+x2/2,y1+y2/2)

5 0
2 years ago
how many gallons of a 70% antifreeze solution must be mixed with 90gallons of 15% antifreeze to get a mixture that is 60% antifr
Alisiya [41]

Here is your answer

Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.

5 0
3 years ago
PLEASE ANSWER ASAP! The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line an
Alik [6]
B. Y-y1=m(X-X1)
Y--1= 2(X-2)
Y+1= 2x-4
Sub 1
Y= 2x-5

The m is 2 cuz it's parallel to the other equation
7 0
3 years ago
Read 2 more answers
Vinny is interviewing for a job. he wants his take-home pay to be at least $42,000$42,000. what is the least salary he can earn
Elena-2011 [213]

56,000 would be the answer. If you divide the 42,000 by 3 then add your quotient to the original number you get his salary before tax.


7 0
3 years ago
Read 2 more answers
There are 11 counters in a bag.
-Dominant- [34]

Answer:

For a green and a blue  P1 = 8/11 * 3/10 = (80 * 33) / 110^2 = .218

For a blue and a green  P2 = 3/11 * 8/10 = (30 * 88) / 110^2 = .218

The probabilities are the same

3 0
2 years ago
Other questions:
  • The prism shown has a volume of 3,024 cm3.
    11·2 answers
  • NEED DONE FAST GIVING 40 POINTS
    8·1 answer
  • 8x+15 =2 (4x)<br> im on a test please help
    9·2 answers
  • you she just bought living room carpet which is 20 feet long by 15 feet wide. If carpet is $6.00 per square foot, how much did t
    15·2 answers
  • Why is this correct idkidkidkidkidkidk
    12·1 answer
  • I WILL MARK BRAINLIEST PLS ANSWER!!!
    7·1 answer
  • Please help me answer the question that’s right next to the red Transportation. Please explain how to solve as well.
    15·1 answer
  • A 10-meter ladder leans against the wall. It is 5 meters from the base of the wall. How high, h, does the ladder reach to the ne
    10·1 answer
  • I need help please help me!
    5·2 answers
  • WILL MARK BRAINLIEST
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!