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
Maksim231197 [3]
3 years ago
8

Solve the following system of equations: −2x + y = 1 −4x + y = −1

Mathematics
2 answers:
Liula [17]3 years ago
6 0
Hello!

-2x + y = 1
-4x + y = -1

You can subtract these equations from each other to eliminate y

2x = 2

Divide both sides by 2

x = 1

Put this into one of the original equations

-2(1) + y = 1

Combine like terms

-2 + y = 1

Add 2 to both sides

y = 3

The answer is D) (1, 3)

Hope this helps!
Jlenok [28]3 years ago
3 0

Answer:

d. (1,3)

Step-by-step explanation:

We will use the substitution method to solve this system of linear equations with two unknowns.

First, we will have to choose any variable from some equation and clear it.

I will use the first equation, with the variable "y"

-2x+y=1\\y=1+2x

We will substitute this equation in the second equation. Every time we find the value of "y", let's replace.

-4x+y=-1\\-4x+(1+2x)=-1

We will solve this equation to find the value of "x"

-4x+1+2x=-1\\-2x=-1+1\\-2x=-2\\x=\frac{-2}{-2} \\x=1

Now, the found value of "x" will replace it in any of my two initial equations.

-2(1)+y=1\\

and we solve

-2+y=1\\y=1+2\\y=3

Thus, the result of this system of equations is

(1,3)

You might be interested in
What is the solution of this equation?<br> -1y = -4
tigry1 [53]

Answer:

y = 4

Step-by-step explanation:

-1y = -4

Divide both sides by -1 to get y by itself.

-1/-1 = -4/-1

y = 4

It's positive because there are two negatives, which mean they cancel out.

8 0
3 years ago
Solve the following equation for y, and then identify the slope of the line: 9x-3y=15
sashaice [31]
9x-3y=15\ \ \ | subtract\ 9x\\\\&#10;-3y=-9x+15\ \ \ | divide\ by\ -3\\\\&#10;y=3x-5\\\\&#10;y=ax+b\ \ a-\ slope\\\\&#10;a=3\\\\Slope\ is\ equal\ to\ 3.
5 0
3 years ago
Read 2 more answers
Express 20% as a decimal number
Oksanka [162]

Answer:

.20

Step-by-step explanation:

take the two digit % and move the decimal two places to the left

7 0
3 years ago
Read 2 more answers
Round to the nearest hundredth 9.8766
Levart [38]

Answer: 9.88

​​​​​​​​​​​​​​​​​​​

6 0
2 years ago
Read 2 more answers
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
dlinn [17]

Answer and Step-by-step explanation:

<u>Mandy travels more miles.</u>

We determine this by multiplying the distance from home by the number of trips.

For Mandy, she lives 10 miles away from school, and takes 9 trips. 9 times 10 is 90 miles.

For Matt, he lives 8 miles away from school, and takes 11 trips. 11 times 8 is 88 miles.

Many travels 2 more miles in total than Matt.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

5 0
3 years ago
Other questions:
  • Which of the point-slope equations below are correct for the line that passes through the points (6,6) and (3,1)?
    13·1 answer
  • Nico drank 1.5 liters of water during his first soccer game. He drank half as much at his second game. How many more liters of w
    6·1 answer
  • NEED HELP PLEASE HELP ASAP WILL GIVE BRAINLEST
    9·2 answers
  • A.
    7·1 answer
  • Write each decimal as a mix number or fraction in simplest form 0.55% =
    8·2 answers
  • The figure below shows a line graph and two shaded triangles that are similar:
    11·2 answers
  • an arts academy requires there to be 4 teachers for every 64 students and 3 tutors for every 33 students. how many students does
    8·2 answers
  • Karen rode her bike at a constant speed of 10 miles per hour. Her distance d is proportional to the number of hours she rode, t.
    10·1 answer
  • Help me with this plzz
    14·2 answers
  • Makayla purchased a jacket for $75 and a pair shoes for $105 the jacket was 10% off and the shoes were 20% off. Before tax how m
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!