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
NemiM [27]
3 years ago
11

Solve the system by the elimination method.

Mathematics
2 answers:
Damm [24]3 years ago
8 0

Answer: 2x = 14

Step-by-step explanation:

Solving the equation us in elimination method,

x + y - 6 = 0...1

x - y - 8 = 0...2

From 1,

x+y = 6...3

x-y = 8...4

To eliminate y, we will add equation 3 and 4 since both the signs attached to y are different.

2x=6+8

2x = 14 (This will be the resulting equation)

To get the variables x, we will divide both sides of the resulting equation by 2

x = 14/2

x = 7

Substituting x = 7 into eqn 3

7 + y = 6

y = -1

Evgen [1.6K]3 years ago
3 0
Since we have a positive y in one equation and a negative y in the other, we can simple add the two together to eliminate y...

2x-14=0

2x=14

x=7, which makes x+y=6 become:

7+y=6

y=-1, so the solution to the system of equations is the point:

(7, -1)
You might be interested in
PLEASE HELP WITH THESE 4 PROBLEMS
Marizza181 [45]

Answer:

  • y = -5/2x + 5
  • y = 2x -1
  • y = 24/11
  • y = 4x + 4

Step-by-step explanation:

To solve for y, subtract the x-term and divide by the coefficient of y.

5x +2y = 10

  2y = -5x +10

  y = -5/2x + 5

__

2y -4x = -2

  2y = 4x -2

  y = 2x -1

__

7y +4y = 24

  y = 24/11

We assume there is a typo, but cannot tell what it is. Use the same method as described and demonstrated for the other problems.

__

-2x +1/2y = 2

  1/2y = 2x +2

  y = 4x +4

8 0
4 years ago
Write the equation of the line through the indicated point with the indicated slope. write the final answer in the form y equals
Assoli18 [71]

y = - 4x + 13


slope = -4

y-intercept = 13

8 0
3 years ago
Shashi Rimoko earns $620 per week as a chef. He has group
finlep [7]

Out of the weekly amount that Shashi Rimoko makes, a deduction of $37.93 is made for insurance.

The total Medical cost is $9,560 and out of this, the amount paid by Shashi per year is:

<em>= Amount x (1 - percentage paid by restaurant)</em>

= 9,560 x ( 1 - 80%)

= $1,912

The amount he pays for Dental coverage is:

<em>= Amount x (1 - percentage paid by restaurant)</em>

= 172 x (1 - 65%)

= $60.20

The total amount he pays for insurance per year is:

<em>= Medical + Dental </em>

= 1,912 + 60.20

= $1,972.20

The weekly deduction is:

<em>= Year amount / No. of weeks in year </em>

= 1,972.20 / 52

= $37.93

In conclusion, $37.93 is deducted from his paycheck every week.

<em>Find out more at brainly.com/question/16711490.</em>

4 0
3 years ago
The diameter of a soccer ball is 8.91 inches. What is the volume of the ball?
Sever21 [200]

Answer:

In inches it would be 370.36

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Georgie joins a gym. She pays $25 to sign up and then $15 each month. Graph it. Label the y-intercept,the slope, and your axes.
Firlakuza [10]
The first thing you should do for this case is to find the equation of the line that best suits the problem and then plot it.
 Let
 x: number of months
 y: amount paid.
 The equation of the line is
 y = 15x + 25
 y-intercept = 25
 the slope = 15
 answer
 Georgie pays (y axis) $ 15 dollars (the spole) monthly (x-axis) in the gym with a $ 25 registration (y-intercept)

8 0
4 years ago
Read 2 more answers
Other questions:
  • How to order fractions from least to greatest with different denominators and numerators?
    15·1 answer
  • The length of a rectangle is 8 feet longer than the width. If the perimeter is 80 feet, find the length and width of the rectang
    12·1 answer
  • The corresponding sides of ΔABC and ΔDEF have equal lengths. The area of ΔABC is 4 square units, and the longest side of ΔDEF is
    10·2 answers
  • Write a two column proof. If ZY=3XY, then ZX=4XY
    9·1 answer
  • my sum of ones digit and tens digit is also 10 however, my ones digit is greater than my tens digit. i am a prime number less th
    6·2 answers
  • Find the volume of the cylinder to the nearest tenth use 3.14
    7·2 answers
  • You are adding two rational numbers with different signs. How can you tell if the sum will be positive negative or zero
    9·1 answer
  • destiny sells pencil cases for $5 each and mechanical pencils for $2 each at the school supply store. she sells p pencil cases a
    14·1 answer
  • If you roll a 6-sided die what is the probability of rolling a one?
    11·2 answers
  • Which of the following expressions is equivalent to.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!