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
Brut [27]
3 years ago
6

Use the elimination method to solve the system of equations? 6x+2y=8 12x+y=22

Mathematics
1 answer:
Xelga [282]3 years ago
3 0

The solution is: x=2, y=-2

Step-by-step explanation:

Given equations are:

6x+2y=8         Eqn 1

12x+y=22       Eqn 2

Multiplying Eqn 1 by 2

2(6x+2y)=2(8)\\12x+4y=16      Eqn 3

Subtracting Equation 2 from eqn 3

12x+4y-(12x+y)=16-22\\12x+4y-12x-y=-6\\3y=-6\\Dividing\ both\ sides\ by\ 3\\\frac{3y}{3}=\frac{-6}{3}\\y=-2

Putting y=-2 in eqn 2

12x-2=22\\Adding\ 2\ on\ both\ sides\\12x-2+2=22+2\\12x=24\\Dividing\ both\ sides\ by\ 12\\\frac{12x}{12} = \frac{24}{2}\\x=2

The solution is: x=2, y=-2

Keywords: Linear equations, Elimination Method

Learn more about elimination method at:

  • brainly.com/question/9738996
  • brainly.com/question/10015690

#LearnwithBrainly

You might be interested in
• How do you summarize data in a two-way frequency table?
anygoal [31]
Recognized the possibility
7 0
3 years ago
its first year of operation Big Lake Camp had 40 campers this year the tents was under 80% of the first year how many campers pa
Irina18 [472]
Answer:
72 campers
Step-by-step explanation:
you would have to multiply the percent to the amount of campers in Big Lake Camp in the first year:
40(1.8) = 72
6 0
2 years ago
WILL GIVE BRAINLIEST ASAP AND MAX POINTS
hichkok12 [17]

Answer:

Y=-4x

Step-by-step explanation:

We know the slope is negative since the line decreases from left to right. Starting at 0,0 we go down 4 and to the right 1 to get to the next point. Therefore the slope is the change in y over the change in x or -4/1= -4. The y intercept is 0 since it crosses the y axis at 0,0. The equation of the line in slope intercept form is y= mx+b or y= -4x

8 0
3 years ago
Kaia calculates the she spends 75 minutes of a school day in science class. If she spends 500 minutes in school, what percent of
GaryK [48]

Answer:

15%

Step-by-step explanation:

Since a percent is out of 100 we can make 75/500 to have the denominator of 100.

To do that you divide

500/5 = 100

and for the numerator

75/5 = 15

whatever you do to one side you must do to the other that's why I divided both sides by 5. The ending fraction would be 15/100 which is the same as 15%

Hope that helps and have a great day!

7 0
2 years ago
Jovana makes $11.25 per hour at her part-time job. During one week, she also earned $30 in tip money,
gladu [14]
It’s c 11.25x+30=159.5
4 0
3 years ago
Other questions:
  • A square tile measures 12 inches by 12 inches. Each unit on a coordinate grid represents 1 inch. (1,1) and (1,13) are two of the
    8·2 answers
  • In the graph, if the number of manufactured units falls below 6.25, then the business will be operating in what state?
    11·1 answer
  • 20 pts need this question asap
    8·1 answer
  • How could the distance formula and slope be used to classify triangles and quadrilaterals in the coordinate plane?
    7·1 answer
  • HELPPP!! BRAINLIEST IF U ANSWER
    7·2 answers
  • Another submarines dissent can be modeled as Y= -250 X, where why is the vertical position and access time in hours. How long wi
    9·1 answer
  • A ranch hand herded his cattle to some grazing land. Then he began riding back to the ranch, which is due west, at 7 kilometers
    8·2 answers
  • Can i have help with this question please i don’t understand
    15·2 answers
  • 8. Higher Order Thinking Colby's dog gave birth to 6 puppies. Each puppy in the litter now has a mass of about 3 kilograms. Abou
    13·1 answer
  • Calculate the area and the circumference of the circle
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!