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
Blababa [14]
3 years ago
12

Given the system of equations, what is the solution?5x - 4y = 7x = 5 - 3/2y

Mathematics
1 answer:
nignag [31]3 years ago
8 0

9514 1404 393

Answer:

  (x, y) = (61/23, 36/23)

Step-by-step explanation:

We assume you intend the equations to be ...

  • 5x -4y = 7
  • x = 5 -3/2y

Then in general form, they are ...

  5x -4y -7 = 0

  2x +3y -10 = 0

The solution using the "cross multiplication method" is ...

  1/(15 +8) = x/(40+21) = y/(-14 +50)

  (x, y) = (61/23, 36/23)

_____

<em>Comment on "cross multiplication method"</em>

When the coefficients from the general form equations are written as a 2×4 array with the first and last columns the same ...

  \left\{\begin{array}{cccc}5&-4&-7&5\\2&3&-10&2\end{array}\right\}

the solution is 1/d1 = x/d2 = y/d3, where d1, d2, d3 are the determinants of successive pairs of columns.

  • d1 = (5)(3) -(2)(-4)
  • d2 = (-4)(-10) -(3)(-7)
  • d3 = (-7)(2) -(-10)(5)
You might be interested in
Find the slope of the line passing through the points (9,2) and (9,-5)
-BARSIC- [3]

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (9, 2) and (x₂, y₂ ) = (9, - 5)

m = \frac{-5-2}{9-9} = \frac{-7}{0}

Since division by zero is undefined then the slope is undefined.

This indicates that the line is vertical.

4 0
3 years ago
What is the sum of the geometric series in which A1 = 4, r = 3, and An = 324?
koban [17]
The answer would be 328
3 0
3 years ago
PLEASE HELP DUE TODAY
Masteriza [31]

Answer:

Five plus the difference of seventeen and eight

6 0
3 years ago
Read 2 more answers
What is the rate of change?<br> the second 1 and second 4?
Mumz [18]
Idek but I do know that 12x8= 72
5 0
3 years ago
HELP NEEDED ASAP MATHS PLEASE!!!
BabaBlast [244]
You plug in the values for x in each respective equation.

a) f(3) = 3 + 1 which equals: 4.
so, f(3) = 4

b) g(3) = (3)^2 - 3 which equals 9 - 3, which equals 6.
so, g(3) = 6.

hope this helps! (:
5 0
4 years ago
Other questions:
  • Alice is making balloon bunches from 6 red balloons and 15 blue balloons. She wants the same number of red balloons and the same
    6·2 answers
  • Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 4 h, and Car B traveled the dista
    14·1 answer
  • When I double my number and add eight , I get my number plus twelve. What is my number?
    8·1 answer
  • The table shows the values of a function f(x).
    5·1 answer
  • Question 4 pleaseeee
    5·2 answers
  • Finding perimeter and area
    6·1 answer
  • 8{(5*3)+(2*5)+(2*10)=
    10·2 answers
  • Please help me I will give brainly if correct
    7·1 answer
  • What is the word form of 807.057 show your work
    12·1 answer
  • Write THREE equivalent fractions for the following fractions:<br><br>25/50 = ___ = ___ =____​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!