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
Genrish500 [490]
3 years ago
14

Solve the system of equations by substitution

Mathematics
1 answer:
scoundrel [369]3 years ago
7 0

Answer:

(x, y) = (1, 3)

Step-by-step explanation:

given the 2 equations

x + y = 4 → (1)

y = 3x → (2)

Substitute y = 3x into (1)

x + 3x = 4

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

y = 3 × 1 = 3

solution is (1, 3 )


You might be interested in
Divide f(x) by d(x), and write a summary statement in the form indicated.
lukranit [14]
( x^4 - 4 x³ + 2 x² - 4 x + 1 ) : ( x² + 1 )   =  x² - 4 x + 1
- x^4             - x²
------------------------
          - 4 x³ + x² - 4 x
            4 x³        + 4 x
         -----------------------
                      x²  + 1
                   - x²   - 1
                ----------------
                   R ( x ) = 0
( x^4 - 4 x³ + 2 x² - 4 x + 1) =  ( x² + 1 ) ( x² - 4 x + 1 )
3 0
3 years ago
How many real roots does a quadratic equation have if the discriminant is -3?
soldier1979 [14.2K]

\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{a}x^2\stackrel{\stackrel{b}{\downarrow }}{+b}x\stackrel{\stackrel{c}{\downarrow }}{+c} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\stackrel{\textit{no real roots}}{\textit{no solution}}\quad \checkmark \end{cases}

6 0
3 years ago
What is mZG?<br>Enter your answer in the box. <br><br>FGH<br>(x-5)°<br>(3x+24)°<br>x°​
lapo4ka [179]

Answer:

The angle for G is 121°.

Step-by-step explanation:

Given that total angles in a triangle is 180° so in order to find the angle of G, first, you hav eto find the value of x :

x + (x - 5) + (3x + 25) = 180°

5x + 20° = 180°

5x = 160°

x = 32°

Next, you have to find the angle of G :

G = 3x + 25

G = 3(32) + 25

G = 96° + 25°

G = 121°

5 0
3 years ago
What is the answer for 2.7cm=m
SIZIF [17.4K]
0.027 in meters!!!!!!
6 0
3 years ago
Read 2 more answers
Please help! It's due soon.
Sedbober [7]

Answer:

Because f(g(x)) = g(f(x)) = x, f and g <u>are </u> inverse functions.

Step-by-step explanation:

f(g(x)) = f(\frac{1}{4}\sqrt{x}) = 16(\frac{1}{4}\sqrt{x} ) ^{2} = 16(\frac{1}{16}x)=x

g(f(x)) = g (16x^{2}) = \frac{1}{4}\sqrt{16x^{2} } = \frac{1}{4}(4x) = x

6 0
3 years ago
Other questions:
  • Tim read 3 books . alison read 4 books. henry read 6 books. how many books did they read all together?
    7·1 answer
  • A tree trunk has r rings after growing for y years. what is the dependent variable?
    6·1 answer
  • A basketball player guesses her team will score 57 points during the game. The player's team actually scores 63 points.
    5·2 answers
  • Two out of every 5 costumers at a restaurant use cash to pay for their meal. What percent of the costumers pay with cash?
    12·2 answers
  • Which statement is true ? <br> I will give brainliest to the person who answers correctly.
    5·1 answer
  • Round each number to the nearest 100 <br> 976
    9·2 answers
  • Someone, please help this is also for my final grades so please do it correctly:)
    8·2 answers
  • Can someone help me plz?
    12·1 answer
  • HELP QUICKLY! Find the missing length indicated.
    6·1 answer
  • Solve the system of equations:10x+y=-180=5x+3y+4
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!