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
kkurt [141]
3 years ago
9

Johanna wrote the system of equations. 4 x - 3 y = 1, 5 x + 4 y = 9. If the second equation is multiplied by 4, what should the

first equation be multiplied by to eliminate the x-variable by addition?
Mathematics
2 answers:
Andru [333]3 years ago
7 0

Answer:

To eliminate x

We multiply Equation 1 by -5

The results are

X = 1

Y= 1

Step-by-step explanation:

4 x - 3 y = 1. .............Equation 1

5 x + 4 y = 9........... Equation 2

If equation 2 is multiplied by 4

4*(5x + 4y = 9)

20x + 16y = 36...... Equation 3

To eliminate x

We multiply Equation 1 by -5

-5*(4 x - 3 y = 1. )

-20x +15y = -5 ..... Equation 4

So we add Equation 3 and Equation 4

31y = 31

Y = 1

Substitute y into Equation 1

4x = 4

X = 1

polet [3.4K]3 years ago
4 0

Answer:

The first equation must be multiplied by -5 to eliminate x variable by addition

Step-by-step explanation:

4 x - 3 y = 1 (1)

5 x + 4 y = 9 (2)

If the second equation is multiplied by 4

5x+4y=9. ×4

We have,

20x+16y=36 (3)

The first equation should be multiplied by -5 to eliminate x variable by addition

4x-3y=1 × -5

We have

-20x+15y=-5 (4)

Add equation (3) and (4) to eliminate x variable

20x+16y=36

-20x+15y=-5

31y=31

Divide both sides by 31

y=1

Substitute y=1 into equation (1)

4 x - 3 y = 1

4x-3(1)=1

4x-3=1

4x=1+3

4x=4

Divide both sides by 4

x=1

You might be interested in
A sports team donates 252 tickets to a sporting event, with tickets to be shared equally among 9 classrooms. How many tickets do
Tcecarenko [31]

Answer:

28 tickets

Step-by-step explanation:

252/9=28

8 0
3 years ago
Writing a geometry proof seems to take a very specific kind of skill along with a specialized vocabulary. Yet you have also seen
ANTONII [103]

In geometry proofs, we commonly use step-by-step logic to figure out the proof. This is commonly used in Computer Science for understanding how computers work, process, and store information(I speak from personal experience). This is also commonly used in Law. You use this in Law as a lawyer to deduce information using step-by-step logical processes and logic, otherwise it's just wishful thinking. So, Law also uses the same reasoning skills used in Geometry proofs.

3 0
3 years ago
Find the percent increase in the price per cheese stick.
BaLLatris [955]
Take the price of the cheese stick then divide that by the old price. you will get a decimal. New divided by old.  You should have some decimal that is 1.something.  If its a percent increase of 64 percent you'd have 1.64 as the decimal. good luck.
3 0
3 years ago
Converting (x - 4)^2 + y^2 = 16 into polar form
dimulka [17.4K]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

(x - 4)² + y² = 16

Step 02:

polar form:

x = r cos (θ)

y = r sin (θ)

(r cos (θ) - 4 )² + (r sin (θ))² = 16

(r cos θ - 4)² + r² sin² θ = 16

r (r - 8 cos (θ)) = 0

r = 8 cos θ

The answer is:

r = 8 cos θ

8 0
1 year ago
Please help and explain. I need help with 16,17,20
zzz [600]
16. LCM is 21
17. LCM is 96
20. LCM is 84x^2y^2
3 0
3 years ago
Other questions:
  • Which rule describes the composition of transformations that maps ΔBCD to ΔB"C"D"?
    9·2 answers
  • How can x2 = x2 + 2x + 9 be set up as a system of equations?
    9·2 answers
  • .
    11·2 answers
  • The employees of a firm that manufactures insulation are being tested for indications of asbestos in their lungs. The firm is re
    13·1 answer
  • the width of a rectangle is 8cm less then its length the perimeter of the rectangle is 52 cm. what is the width of the rectangle
    9·1 answer
  • ?÷(−7)=(−4) what is the missing number
    14·2 answers
  • The manufacturer of widgets spends $5 to make each widget and sells them for $8. The manufacturer also has fixed costs each mont
    7·2 answers
  • Bine like terms.<br> 7 – 64 – 5x3 – 1 + x3 – 7 – 2y<br> PLS HURRY
    12·1 answer
  • Here is a list of numbers: <br> -5, -15, -10, 5, 14, 5, -18, 11, -4 <br> State the median.
    9·1 answer
  • HELP ASPCA PLZ
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!