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
CaHeK987 [17]
2 years ago
15

Solve the system substitution y= 4x + 1 and 3x+2y =13

Mathematics
1 answer:
strojnjashka [21]2 years ago
8 0

Given :

{\qquad \sf \dashrightarrow  y= 4x + 1 \: –––– \sf \:  (i)}

{\qquad \sf \dashrightarrow   3x + 2y = 13 \: –––– \sf \:  (ii)}

Now, Substituing the value of y in equation (ii) :

{\qquad \sf \dashrightarrow   \: 3x + 2y = 13   }

{\qquad \sf \dashrightarrow   \: 3x + 2(4x + 1) = 13   }

{\qquad \sf \dashrightarrow   \: 3x + 8x + 2 = 13   }

{\qquad \sf \dashrightarrow   \: 11x + 2 = 13   }

{\qquad \sf \dashrightarrow   \: 11x  = 13 - 2   }

{\qquad \sf \dashrightarrow   \: 11x  = 11   }

{\qquad \sf \dashrightarrow   \: x  =  \dfrac{11}{11}    }

{\qquad \sf \dashrightarrow   \bf \: x  = 1   }

Now, substituting the value of x in equation (i) :

{\qquad \sf \dashrightarrow  y= 4x + 1}

{\qquad \sf \dashrightarrow  y= 4(1) + 1}

{\qquad \sf \dashrightarrow  y= 4 + 1}

{\qquad \bf \dashrightarrow  y= 5}

You might be interested in
List the angles in order from smallest to largest.
Vedmedyk [2.9K]

Answer:

the answer is C

Step-by-step explanation:

5 0
3 years ago
What’s the surface area
Elodia [21]
The answer would be 202 inches
7 0
3 years ago
How do I do 8b(ii) ? Please help me thank you!
Mila [183]
Step One
======
Find the length of FO (see below)

All of the triangles are equilateral triangles. Label the center as O
FO = FE = sqrt(5) + sqrt(2)

Step Two
======
Drop a perpendicular bisector from O to the midpoint of FE. Label the midpoint as J. Find OJ

Sure the Pythagorean Theorem. Remember that OJ is a perpendicular bisector.

FO^2 = FJ^2 + OJ^2
FO = sqrt(5) + sqrt(2)
FJ = 1/2 [(sqrt(5) + sqrt(2)]                                           \
OJ = ??

[Sqrt(5) + sqrt(2)]^2 = [1/2(sqrt(5) + sqrt(2) ] ^2 + OJ^2
5 + 2 + 2*sqrt(10) = [1/4 (5 + 2 + 2*sqrt(10) + OJ^2
7 + 2sqrt(10) = 1/4 (7 + 2sqrt(10)) + OJ^2      Multiply through by 4
28 + 8* sqrt(10) = 7 + 2sqrt(10) + 4 OJ^2    Subtract 7 + 2sqrt From both sides
21 + 6 sqrt(10) = 4OJ^2   Divide both sides by 4
21/4 + 6/4* sqrt(10) = OJ^2
21/4 + 3/2 * sqrt(10) = OJ^2 Take the square root of both sides.
sqrt OJ^2 = sqrt(21/4 + 3/2 sqrt(10) )
OJ = sqrt(21/4 + 3/2 sqrt(10) )

Step three
find h
h = 2 * OJ
h = 2* sqrt(21/4 + 3/2 sqrt(10) ) <<<<<< answer.


7 0
3 years ago
Match the description to the best example so that all terms have a matching example.
rusak2 [61]

Answer:

I'm pretty sure a set a decimal fractions is {1/4, 1/2, 3/4}

I think a set of whole numbers is {3, 4, 5.}

A set of integers might be {-2, -1, 0, +1.}

I'm am sure a set of natural numbers is {1, 2, 3.}

The set if rational numbers is {0.1, 0.2, 0.3} I think.

I am not that sure if my answers are right or not so sorry if this is incorrect.

5 0
3 years ago
Read 2 more answers
Which of the following represents "the difference between ten and a number is the sum of eight and a number"? 10 - N(8 + N) 8 -
Setler [38]

Answer:

\Huge \boxed{10-N=8+N}

Step-by-step explanation:

<h2>Algebraic expressions</h2>

Difference: should be subtract.

N: should be a number.

Sum: Add

Therefore, the correct answer is 10-N=8+N.

Hope this helps!

7 0
3 years ago
Read 2 more answers
Other questions:
  • The Schuller family has five members. Dad is 6ft 2in tall. Mom is 3 inches shorter than Dad, but 2 inches taller than Ivan. Marc
    8·1 answer
  • PLEASE HELP
    7·1 answer
  • ε = {x: 2 ≤ x ≤30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: M-T
    11·1 answer
  • The sales of a certain product after an initial release can be found by the equation s=16√7t+62 where s represents the total num
    15·2 answers
  • Please help, i need this done asap!
    15·1 answer
  • The coordinates of the endpoints line AB are A(0,0) and B(0,6). The. Equation of the perpendicular bisector of line AB is?
    8·2 answers
  • Please help me ASAP!<br> Thanks :)
    15·1 answer
  • Find the slope of the line.<br> - 3x – 2y = 7
    9·1 answer
  • What is the trigonometric ratio for cos N? <br><br> Enter your answer, as a simplified fraction.
    14·1 answer
  • Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of function g
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!