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
zvonat [6]
3 years ago
14

Solve y=3x-7 and 4x+3y=18 by substitution

Mathematics
2 answers:
Schach [20]3 years ago
5 0

Answer:

x = 3

y = 2

Step-by-step explanation:

4x + 3(3x - 7) = 18 <em>Substitute</em><em> </em><em>y</em>

4x + 9x - 21 = 18 <em>Simply</em>

13x - 21 = 18 <em>Add</em><em> </em><em>like</em><em> </em><em>terms</em>

13x = 39 <em>Add</em><em> </em><em>2</em><em>1</em>

x = 3 <em>Divide</em><em> </em><em>by</em><em> </em><em>1</em><em>3</em>

y = 3(3) - 7 <em>Substitute</em><em> </em><em>x</em>

y = 9 - 7 <em>Simply</em>

y = 2 <em>Subtract</em>

Let's check:

4(3) + 3(2) = 18

12 + 6 = 18

18 = 18

It works!

Monica [59]3 years ago
5 0

Answer:

\huge\boxed{x=3,\ y=2\to(3,\ 2)}

Step-by-step explanation:

\left\{\begin{array}{ccc}y=3x-7&(1)\\4x+3y=18&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\4x+3(3x-7)=18\qquad\text{use the distributive property}\\\\4x+(3)(3x)+(3)(-7)=18\\\\4x+9x-21=18\qquad\text{add 21 to both sides}\\\\4x+9x-21+21=18+21\qquad\text{cobine like terms}\\\\13x=39\qquad\text{divide both sides by 13}\\\\\dfrac{13x}{13}=\dfrac{39}{13}\\\\\boxed{x=3}\\\\\text{Substitute it to (1):}\\\\y=3(3)-7\\\\y=9-7\\\\\boxed{y=2}

You might be interested in
Help me please!! If you do you will get 25 points :)
Radda [10]

Answer:

24 units by 15 units

Step-by-step explanation: To find how many units the length and width are, divide each by 5:

120/5 = 24

75/5= 15

For every 5 feet, there is 1 unit .

6 0
3 years ago
Brainliest 25pts Bad answers = insta-report, if you dont understand dont answer the question. Must give statement and reason
Klio2033 [76]

9514 1404 393

Explanation:

We can find the slope by solving for y.

  3x +2y +7 = 5x +3y +10

  -2x -3 = y . . . . . . . . . . . . . add -5x-10-2y to both sides of the equation

In this form, the slope (m) is the coefficient of x, -2. Hence m = -2.

__

<em>Alternate solution</em>

A graph of the equation shows it has an x-intercept of -1.5 and a y-intercept of -3. The slope (m) is then "rise" divided by "run", or ...

  m = rise/run = -3/1.5

  m = -2

4 0
3 years ago
Find the student’s error in solving the following inequality.
Volgvan
31 < -5x + 6
<u>-6             -6</u>
<u>25</u> < <u>-5x</u>
-5      -5
-5 < x
x > -5


5 0
3 years ago
Read 2 more answers
Kim got a prize point for every four raffle tickets she sold. She sold 362 raffle tickets. How many prize points did she get?
Diano4ka-milaya [45]

Answer:90 1/2

Step-by-step explanation:

She sold 362 tickets

She gets prize point for every 4 tickets

3 0
3 years ago
carol's father was 24 years old when carol was born, now he is 4 times as old a carol how old is carol
tensa zangetsu [6.8K]

Answer:

24 - 24 = 0 (carols age past tense)

24 x 4 = 96

96 - 24 = 72 (present tense)

carol is now 72 yr

8 0
2 years ago
Other questions:
  • What is the image of (-8, 3) over the x-axis?
    9·2 answers
  • If we denote a cystic fibrosis gene with a c and a​ disease-free gene with a C​ (since the disease is​ recessive), then only a c
    9·1 answer
  • Given the slope of the line (y-2)=3(x+1) what is the slope
    15·1 answer
  • X=-2-8<br> 3x-4y=6<br> What is the answer for
    11·1 answer
  • The school hall is 4 times as long as it is wide. If the perimeter is 55m, what is the length? and what is the width?
    12·1 answer
  • What is the slope of the graph of 4x-16y=15. Also can you please show your work trying to better understand
    8·1 answer
  • Simplify: −4(b+6)−2b(1−4b
    13·1 answer
  • On the number line, which point is closest to <br> A. A<br> B. B <br> C. C <br> D. D
    11·2 answers
  • Round-Trip Cost ($) Departure City Atlanta Salt Lake City Cincinnati 340.1 570.1 New York 321.6 354.6 Chicago 291.6 465.6 Denver
    9·1 answer
  • (b) Find the sum of first twenty terms of the following arithmetic progressions A.P
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!