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
aleksklad [387]
2 years ago
15

Solve the following simultaneous equations: 1. a) x-y=-5 and x + y = -1​

Mathematics
2 answers:
Sonbull [250]2 years ago
8 0

Answer:

x = -3, y = 2

Step-by-step explanation:

x - y = -5

x = -5 + y

Let's put this into the other equation

(-5 + y) + y = -1

-5 + 2y = -1

2y = 4

y = 2

Now we can solve for x by plugging y into either equation

x + (2) = -1

x = -3

Leno4ka [110]2 years ago
7 0

Answer:

  (x, y) = (-3, 2)

Step-by-step explanation:

The two equations are recognizable as expressing the sum and difference of the two variables. Such a set of equations is easily solved by the "elimination" method.

__

<h3>eliminate y</h3>

The y-variables have opposite coefficients in the two equations, so that variable can be eliminated by adding the two equations:

  (x -y) +(x +y) = (-5) +(-1)

  2x = -6 . . . . . . . simplify

  x = -3 . . . . . . divide by 2

<h3>eliminate x</h3>

The x-variables have the same coefficient in the two equations, so that variable can be eliminated by subtracting one equation from the other. We choose to subtract the first equation so the result has a positive coefficient for y.

  (x +y) -(x -y) = (-1) -(-5)

  2y = 4 . . . . . . . simplify

  y = 2 . . . . . . divide by 2

The solution to the system of equations is (x, y) = (-3, 2).

You might be interested in
At a pet store the ratio of cats to dogs sold was 5 : 3. If there were 40 cats that were sold, how many dogs were sold?
Anna [14]

Answer:24 dogs

Step-by-step explanation:8x3

3 0
3 years ago
PLEASE HELP ME FAST!!!!
poizon [28]
The answer is going to be A
3 0
3 years ago
The wavelength of violet light is 4.0 x 10−7 m. The wavelength of red light is 6.5 x 10−7 m. How much longer is the wavelength o
photoshop1234 [79]

Answer:

A

Step-by-step explanation:

We can substract the wavength of the violet light to the wavelength of the red light:

(6.5 x 10^-7 m) - (4.0 x 10^-7 m) = 2.5 x 10^-7 m

8 0
3 years ago
Solve square root <br> (2x+3)^2=36
REY [17]
X=3/2 btw its a fraction
6 0
3 years ago
Read 2 more answers
Solve p=10a+3b for a
Gre4nikov [31]

Answer:

a = (p - 3b)/10

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction).

p = 10a + 3b

First, subtract 3b from both sides.

p (-3b) = 10a + 3b (-3b)

p - 3b = 10a

Next, isolate the a. Divide 10 from both sides.

(p - 3b)/10 = (10a)/10

(p - 3b)/10 = a

a = (p - 3b)/10 is your answer.

~

5 0
3 years ago
Other questions:
  • Write the set of real numbers between 110 and 220 in interval notation.
    12·2 answers
  • ben has agreed to play fewer video games and spend more time studying. he has agreed to play less than 10 hours of video games e
    12·1 answer
  • I need some help please !
    6·2 answers
  • Simplify the expression -4b + 8c + 12 - 8b - 2c + 6.
    15·1 answer
  • At the video game store, they were having a sale. There was a pack of 3 games for $45.96. If the games were all the same price,
    11·1 answer
  • How do I do this? If anyone can help, that would be great. Thx!
    10·2 answers
  • In Death valley, Cailfornia, the elevation is 15ft below sea level. In nearby San Diego , The average elevation is 50ft above se
    5·2 answers
  • Question 7 of 10
    11·1 answer
  • Which description best describes the graph?
    11·1 answer
  • Can someone help me pls
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!