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
Lunna [17]
3 years ago
8

Solve the system of equations using the substitution method.

Mathematics
2 answers:
wolverine [178]3 years ago
6 0

ANSWER

x = 6

y =  - 11

EXPLANATION

The given system of equations is

y =  - 3x + 7...(1)

and

x =  - 2y  - 16...(2)

We substitute equation (1) into equation (2) to get;

x =  - 2( - 3x + 7) - 16

x = 6x  - 14- 16

We group similar terms

x - 6x =  - 14 - 16

- 5x =  - 30

Divide both sides by -5.

x =6

Put x=6 into equation (1).

y =  - 3(6) + 7

y =  - 18 + 7

y =  - 11

dalvyx [7]3 years ago
5 0

Answer:

x = 6 and y = -11  

Step-by-step explanation:

Given : System of linear equation

y=−3x+7

x=−2y−16

We have to solve the system of equations using the substitution method.

In substitution method, we substitute the value of one variable in term of other and solve for it.

Consider the given system of linear equation

y = −3x + 7  ...(1)

x = −2y − 16 .....(2)

Substitute, (2) in (1), we get,

y = -3(-2y - 16) + 7

Simplify , we get,

y = 6y + 48 + 7

6y - y = - 55

5y = -55

y = -11

Substitute y = -11 in (2), we get,

x = −2(-11) − 16 = 22 - 16 =  6

thus, x = 6

Thus , x = 6 and y = -11  

You might be interested in
Why does a y-intercept not count as a zero?
Genrish500 [490]

Answer:

It only counts as a zero when the y-intercept is (0,0).

Step-by-step explanation:

The zeros of a quadratic function are always written as (x,0), while the y-intercept is always written as (0,y). Therefore, in order for a y-intercept to be a zero, it must be (0,0), because the y-coordinate in any zero is 0. At any other time, the y-intercept is not a zero.

7 0
3 years ago
What is the answer to 1/7 times by 6
harina [27]

Answer:

6/7

Step-by-step explanation:

multiply the 1 by 6 and put that over 7

8 0
3 years ago
A skateboard ramp at the skate park is in the shape of a triangular prism. What is the lateral surface area of the ramp? (SA = P
rodikova [14]

Answer:

Step-by-step explanation: i dont know

3 0
3 years ago
What is the distance between the points 1 - 6 + -5 2
Nata [24]
(1, -6) and (-5, 2)

Distance between 1 and -5 = 6
Distance between -6 and 2 = 8

6²+8²=x² (PYTHAGOREAN THEOREM)
36+64=x²
x² = 100
x = 10

Note: Not -10 because <em>distance cannot be negative.</em>
5 0
3 years ago
Megan and Kyaa find out they are reading the same book. Although they will be starting on different page numbers,
borishaifa [10]
<h2>40 pages per hour</h2><h2>45 pages per hour</h2><h2>                                       50 pages per hour</h2><h2>90 pages per hour</h2><h2>125 pages per hour</h2>
6 0
3 years ago
Other questions:
  • Prove system has more than one solution then it has infinite solution
    11·1 answer
  • How do you multiply 6 x 298 using friendly numbers?
    7·1 answer
  • A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. T
    10·2 answers
  • 2r2 + 3s3 − r2 + 4t2 − r2 if r = −2, s = −3, and t = 5
    5·1 answer
  • What is the reciprocal of 4 over 5​
    11·1 answer
  • What’s the class width
    14·1 answer
  • A t-shirt decreased in price by
    12·1 answer
  • Want two numbers multiply to get -30 and add to get -13
    10·1 answer
  • In a​ company, ​75% of the workers are women . If 1,475 people work for the company who​ aren't women ​, how many workers are th
    13·1 answer
  • Which is the least common multiple of 5 12 15
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!