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
makvit [3.9K]
3 years ago
10

How do you solve this system of linear equation by substitution x-3y=-12y=2x+9

Mathematics
1 answer:
Ainat [17]3 years ago
6 0
Finding x:
If y=2x+9, substitute y into the equation x-3y=-12.
You will get:  x-3(2x+9)=-12
Now, distribute:  x-6x-27=-12
Add like terms:  -5x-27=-12
Add 27 to both sides:  -5x=15
Divide both sides by -5:  x=-3

Now, substitute this value of x into the equation to find y:  y=2(-3)+9
Multiply:  y=-6+9
Add:  y=3

Here is the solution:  (x,y)=(-3,3)

Hope this explanation helped!




You might be interested in
Donald baked 77 cookies in the morning and 83 cookies in the afternoon for 14 days how many total cookies did he bake
KIM [24]
77 + 83 = 160, multiply that by 14 days, gives you 2,240
3 0
3 years ago
Read 2 more answers
Linh has obtained scores of 82, 79, and 75 on her midterm algebra exams. If the final exam counts twice as much as a midterm, wh
OLga [1]

Answer:

She must make a score of 42 in the final exam to obtain an average of 80.

Step-by-step explanation:

Hi there!

Let x be the score of the final exam, the equation will be as follows (remember that the score of the final counts double):

(82 + 79 + 75 + 2x)/4 = 80

Let´s solve the equation for x multiplying each side of the equation be 4:

82 + 79 +75 + 2x = 320

Substract 82, 79 and 75 to both sides of the equation:

2x = 320 - 82 - 79 -75

2x = 84

x = 84/2

x = 42

She must make a score of 42 in the final exam to obtain an average of 80.

Have a nice day!

8 0
3 years ago
X+3y=28 when x =28 find the value for y plz help
Lisa [10]

Answer:

y = 0

Step-by-step explanation:

Plug in 28 for x. Solve for the equation:

x + 3y = 28

(28) + 3y = 28

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 28 from both sides:

28 (-28) + 3y = 28 (-28)

3y = 0

Isolate the variable, y. Divide 3 from both sides:

(3y)/3 = (0)/3

y = 0

y = 0 is your answer.

~

4 0
3 years ago
What is a nonlinear function
Tema [17]

Answer: A set of dots that arent in a line-esc shape.

(Think of  a scatter plot)

I'm bad at explaining, sorry.

8 0
3 years ago
Read 2 more answers
Given a | | b, m∠ 1 = 56° , and m∠2 = 42° , find the measure of the other angles.
stellarik [79]

Did you ever get the answer?

8 0
3 years ago
Other questions:
  • 0.4x - 5 = 0.08 + 3 plz
    14·1 answer
  • Using the quadratic formula, which of the following are the zeros of the quadratic equation below
    9·2 answers
  • Love & Money - 89,500
    14·1 answer
  • The value of x that makes 2x equal 10 is __ 3
    9·1 answer
  • 338+35<br> Hehejdhdbdhchdsjjxxjdjdjdjdjjxdjdjjdjdjdjdjdhdjdjdhd
    8·1 answer
  • Translate this phrase into an algebraic expression<br><br> 42 decreased by twice a number.
    7·1 answer
  • HELP PLEASE!!!! THIS IS DUE IN LESS THAN AN HOUR!!!!!! Brainliest and 50 points for whoever can tell me the answer and what I di
    14·1 answer
  • 3. Farmer John has cows and chickens on his farm. His farm animals have 128 legs and 48 heads total. How many cows and how many
    14·2 answers
  • Boardman's Department Store sells clothing for children and adults. Last weekend the store sold 5 adult shirt's for every 3 chil
    7·1 answer
  • Does anybody know how to find area of a triangle?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!