Find x/y given 2x + y = 35 and 3x + 4y = 65?

Find \( \frac{x}{y} \) given 2x + y = 35 and 3x + 4y = 65?

Expert Solution

Solution:

Equations given are:

2x + y = 35 Eq. I

3x + 4y = 65 Eq. II

Multiplying Eq. I by 4:

8x + 4y = 140 - Eq. III

Subtracting Eq. II from Eq. III:

5x = 75

x = \( \frac{75}{5} \) = 15

Substitute x = 15 in Eq. I:

2 (15) + y = 35

30 + y = 35

y = 35 - 30

y = 5

Hence,

\( \frac {x}{y} = \frac {15}{5} \)

= 3

The value of \( \frac {x}{y}~ is ~3 \)

Shams answered 1 year ago

Given the linear program Max 3x+4y s.t. -x+2y≤8 x+2y≤12 2x+y≤16 x,y≥0 a. Write the problem in...

Given the linear program Max 3x+4y s.t. -x+2y≤8 x+2y≤12 2x+y≤16 x,y≥0 a. Write the problem in standard form. Identify slack/surplus variables. b. List all the extreme points. You must write down the values for x and y for each extreme point. c. Find the optimal solution by comparing the extreme points. d. What are the values of the three slack/surplus variables at the optimal solution?

y''+4y'+4y=2e^{-2x} Find general solution.

Find the solutions of y'' + 4y' + 3y = sen(x) + 3 cos(2x) + e˄(−x)+...

Find the solutions of y'' + 4y' + 3y = sen(x) + 3 cos(2x) + e˄(−x)+ 2 x˄2

find the general solution y'''-y''-4y'+4y=5-e^x-4e^2x (UNDETERMINED COEFFICIENTS—SUPERPOSITION APPROACH)

solve the given system ofdifferential equation by elimination. x’-2x-y=1 x+y’-4y=0

Find y as a function of x if y''''−4y'''+4y''=−128e^{-2x} y(0)=2, y′(0)=9, y″(0)=−4, y‴(0)=16. y(x)=?

Find a particular solution to y′′+4y′+4y=(e^−2x)/x^4 using variation of parameters yp= ?

find the general solution 2xy^3+e^x+(3x^2y^2+siny)y'=0 xy'=6y+12x^4y^(2/3) (2x+1)y'+y=(2x+1)^(3/2)

Maximize objective function P=3x+4y subject to: x + y ≤ 7 x ≥ 0 x+4y ≤...

Maximize objective function P=3x+4y subject to: x + y ≤ 7 x ≥ 0 x+4y ≤ 16 y ≥ 0

Find the solution of the system x′=−4y, y′=3x, where primes indicate derivatives with respect to t,...

Find the solution of the system x′=−4y, y′=3x, where primes indicate derivatives with respect to t, that satisfies the initial condition x(0)=1, y(0)=−1.

Question