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
goldfiish [28.3K]
3 years ago
10

The substitution method solve 6x-y=3 4x+3y=1

Mathematics
2 answers:
bekas [8.4K]3 years ago
8 0

Answer:

<h2> </h2><h2>( \frac{5}{11}  \:,  -  \frac{3}{11} )</h2>

Step-by-step explanation:

6x - y = 3

4x + 3y = 1

Solve the equation for y

y = -3 + 6x

4x + 3y = 1

Substitute the given value of y into the equation

4x + 3y = 1

plug the value

4x + 3( - 3 + 6x) = 1

Distribute 3 through the parentheses

4x  - 9 + 18x = 1

Collect like terms

22x - 9 = 1

Move constant to R.H.S and change its sign

22x = 1 + 9

Calculate the sum

22x = 10

Divide both sides of the equation by 22

\frac{22x}{22}  =  \frac{10}{22}

Calculate

x =  \frac{5}{11}

Now, substitute the given value of x into the equation

y = -3 + 6x

y =  - 3 + 6 \times  \frac{5}{11}

Solve the equation for y

y =  -  \frac{3}{11}

The possible solution of the system is the ordered pair ( x , y )

<h2>(x ,\: y) = ( \frac{5}{11}  ,\:  -  \frac{3}{11} )</h2>

-----------------------------------------------------------

Check if the given ordered pair is the solution of the system of equations

6 \times  \frac{5}{11}  - ( -  \frac{3}{11} ) = 3

4 \times  \frac{5}{11 }  + 3 \times ( -  \frac{3}{11} ) = 1

Simplify the equalities

3 = 3

1 = 1

Since all of the equalities are true , the ordered pair is the solution of the system

<h2>( \: x ,\: y \: ) = ( \frac{5}{11}  \:,  -  \frac{3}{11} )</h2>

Hope this helps..

Best regards!!

Juli2301 [7.4K]3 years ago
5 0
Y= - 3 + 6x
4x+3y=1
4x+3(-3 + 6x) = 1
4x-9+18x-1=0
22x= 0
22x= -8
x = -8/22 = -4/11
You might be interested in
Y = f(x) = 25x<br><br> Find f(x) when x= 1/2
Ray Of Light [21]

Answer:

12.5

Step-by-step explanation:

f of x just means y, so you're just finding y when x = 1/2

7 0
3 years ago
Read 2 more answers
Find the perimeter and area of each figure 70. A square with length 4.5 inches.
il63 [147K]

Area = 4.5 x 4.5 = 20.25 in²

Perimeter = 4 x 4.5 = 18 in

3 0
3 years ago
Write the slope intercept equation of the function f whose graph satisifies the given conditions. The graph of f passes through
MrMuchimi
  • Let's find slope first.

  • (1,-2)
  • (-8,6)

\\ \sf\longmapsto m=\dfrac{6+2}{-8-1}

\\ \sf\longmapsto m=\dfrac{8}{-9}

Slope intercept form

\\ \sf\longmapsto y=mx+b

\\ \sf\longmapsto y=-\dfrac{8}{9}x-2

3 0
2 years ago
For what values of x is x2 + 2x = 24 true?
Sophie [7]

x^2 + 2x = 24\\x^2+2x+1=25\\(x+1)^2=25\\x+1=5 \vee x+1=-5\\\x=4 \vee x=-6

8 0
3 years ago
Read 2 more answers
What is a transformation
lianna [129]
A way to change the shape of a point, a line, or shape.
3 0
3 years ago
Other questions:
  • Which of the following is a unit rate?
    7·1 answer
  • A dice is rolled and a marble is selected at random from a bag with 2 red marbles, 2 green marbles, 2 yellow marbles, 1 purple m
    11·1 answer
  • Owen is three years less than twice as old as his sister Sara if Owen is 13 how old is she
    9·1 answer
  • Calculate the area of this triangle.<br>14 cm<br>18 cm​
    8·1 answer
  • Evaluate log base 6 1/216
    6·1 answer
  • Jason worked 3 hours more than Keith. Jason worked 12 hours. Which equation represents this situation, if k is the numbers of ho
    10·1 answer
  • A map scale has 1cm:3miles the distance between two towns 7 cm what is the real life distance between the two towns?
    14·1 answer
  • Please help me outtttttttttt
    15·1 answer
  • Find the perimeter and area of the figure. Round to the nearest tenth if necessary.
    14·1 answer
  • The larger of two consecutive integers is 7 greater than twice the smaller. Find the integers. ( 4, 5)( -8, -9)(-5, -6)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!