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
Brilliant_brown [7]
3 years ago
12

Find the solution of the system of equations 3x+4y=10 and x−y=1. Give the x value followed by the y value, separated by a comma

Mathematics
2 answers:
mote1985 [20]3 years ago
8 0

Answer: the solution is (2, 1)

Step-by-step explanation:

The given system of simultaneous equations is given as

3x+4y=10 - - - - - - - - - - - - -1

x−y=1 - - - - - - - - - - - - 2

We would eliminate x by multiplying equation 1 by 1 an equation 2 by 3. It becomes

3x + 4y = 10

3x - 3y = 3

Subtracting, it becomes

7y = 7

Dividing the left hand side and the right hand side of the equation by 7, it becomes

7y/7 = 7/7

y = 1

Substituting y = 1 into equation 2, it becomes

x - 1 = 1

Adding 1 to the left hand side and the right hand side of the equation, it becomes

x - 1 + 1= 1 + 1

x = 2

GREYUIT [131]3 years ago
4 0

Answer:

Solution of the system is (2,1).                                                          

Step-by-step explanation:

We are given the following system of equation:

3x+4y=10\\x - y = 1

We would use the elimination method to solve the following system of equation.

Multiplying the second equation by 4 and adding the two equation we gwt:

3x + 4y = 10\\4\times (x-y = 1)\\\Rightarrow 4x - 4y = 4\\\text{Adding equations}\\3x + 4y + (4x-4y) = 10 + 4\\7x = 14\\\Rightarrow x = 2\\\text{Substituting value of x in second equation}\\2 - y = 1\\\Rightarrow y = 1

Solution of the system is (2,1).

You might be interested in
In discus competition an athlete threw the discus 63.37meters 62.95 meters and 63.7meters order the distance from least to great
Eduardwww [97]
62.95meters, 63.37meters, 63.7meters.
6 0
3 years ago
Read 2 more answers
Solve the equation.<br> (x-5)(x+3)=0
LuckyWell [14K]
(x-5)(x+3)=0
x^2+3x-5x-15=0
(x^2+3x) (-5x-15)
x(x+3) -5(x+3)
x-5=0 x+3=0
x=5 OR -3
8 0
2 years ago
Read 2 more answers
Which of the following is the value of x?<br><br> A. 2<br><br> B.11<br><br> C. 20 <br><br> D. 29
Lunna [17]

Answer:

c

Step-by-step explanation:

180= 45+ (5x+35)

-45 -45

135 = 5x + 35

-35 -35

100 = 5x

/5 /5

x=20

5 0
3 years ago
Whats the answer to this question<br> Please give me the right answer to this question
vichka [17]
Slope is 7 root 2 I hope this
7 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!! Ms. Jones wants to install a stone border along the flower bed in her rectangular backyard. Which is closest t
Nataly_w [17]

Answer:

use Pythagoras theorem formula   C^{2} = A^{2} + B^{2}

Step-by-step explanation:

C^{2} =  24^{2} + 18^{2}

C^{2}  = 576 + 324

C^{2} = 900

C = \sqrt{900}

C = 30

Does that make sense?  :|

3 0
3 years ago
Other questions:
  • Write a rule to describe the function shown.
    11·2 answers
  • Explain who to divide and multiply rational numbers
    9·1 answer
  • What number is divisible by ?<br> 2 3 5 or 10 <br><br> a)130<br> b)123<br> c)555<br> d)5564
    13·1 answer
  • A website's views were increasing exponentially at a rate of 14% per year.
    8·2 answers
  • Find the quotient. Write the answer in simplest form.
    13·1 answer
  • Work out the value of 1. 7/2 -a ² 2. 3x-8 = 19
    13·2 answers
  • PLEASE HELP, I NEED THE ANSWERS ASAP, I WILL AWARD BRAINLIEST!
    9·1 answer
  • Type the missing numbers in this sequence:<br><br> 67,<br><br> 79,<br> 85,<br> 91
    5·2 answers
  • Simplify the expression using the order of operations show all your work 150- (4²+4) ÷ 2
    15·2 answers
  • Can someone please help me understand this?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!