2 x 3 y 13 5 x 4 y 2
Asked by admin @ in Math viewed by 318 People
Solve:2/x+3/y=13,5/x-4/y=-2
Answered by admin @
Answer:
x = 1/2 , y = 1/3
Solution:
Given Equations Reducible to a Pair of Linear Equations in two variables :
2/x + 3/y = 13 ----(1)
5/x - 4/y = -2 ------(2)
If we substitute 1/x = a and 1/y = b , we get the following pair of linear equations:
2a+3b=13 -----(3)
5a-4b = -2 -----(4)
Coefficients of b are 3 and 4 and
their LCM is 12 .
Using the elimination method .
Equation (3) × 4 8a+12b=52
Equation (4) × 3 15a-12b=-6
'b' terms have opposite sign , so we add the two equations.
23a = 46
=> a = 46/23
=> a = 2
Substitute the value of a in equation (3), we get
=> 2×2 +3b =13
=> 4 + 3b = 13
=> 3b = 13 - 4
=> 3b = 9
=> b = 9/3
=> b = 3
But 1/x = a = 2 => x = 1/2
1/y = b = 3 => y = 1/3
•••••
Similar Questions
1 2 x 5 1 3 x 2 4
Asked by admin @ in Math viewed by 438 persons
1/2(x+5)-1/3(x-2)=4.solve the equation.
5 3x 2 x 3 4 4x 5 13 answer
Asked by admin @ in Math viewed by 389 persons
Solve the equation :-
5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
X 2 1 5 x 3 1 4
Asked by admin @ in Math viewed by 433 persons
Solve the equation x/2-1/5 = x/3+1/4 ?
Solve x 2 1 5 x 3 1 4
Asked by admin @ in Math viewed by 398 persons
Solve the equation x/2-1/5 = x/3+1/4 ?
4 x 5 y 7 3 x 4 y 5
Asked by admin @ in Math viewed by 319 persons
Solve for X and Y:4/x+5y=7;3/x+4y=5,x=0
Graph y 6 4 5 x 3
Asked by maham237 @ in Mathematics viewed by 352 persons
Graph y+6=4/5(x+3) using the point and slope given in the equation
X 1 x 2 x 3 x 4 x 5
Asked by admin @ in Mathematics viewed by 296 persons
PLEASE HELP ASAP!!!
Simplify the following expression.
(x+1)^2-3(x+2)
a. x^2-3x+7
b. x^2-x-5
c. x^2-3x-5
d. x^2-x+3
Simplify the following expression.
(5x^3y^-3)(-6x^4y)
a. -30x^7y^2
b. -30x^12y^3
c. -30x^12/y^3
d. -30x^7/y^2
Solve …
Y 1 4 3 x 1 2 in standard form
Asked by maham237 @ in Mathematics viewed by 363 persons
Write each equation in standard form.
y+1=4/5(x-3)
y-8= -1/2(x+4)
X 3 2x 2 2x 13
Asked by maham237 @ in Mathematics viewed by 348 persons
Write the converse of this statements. If 3-2X=13, then x=-5
4 2x 1 2 x 5 5 x 1 3
Asked by admin @ in Math viewed by 364 persons
4(2x-1)-2(x-5)=5(x+1)+3 solve the following equation
Most viewed questions in Math
Prachi excellence in mathematics class 7 solutions pdf free download
Asked by admin @ in Math viewed by 12034 persons
Oxford new enjoying mathematics class 7 solutions chapter 1
Asked by admin @ in Math viewed by 11518 persons
Survey of various types of bank accounts icse project
Asked by admin @ in Math viewed by 11506 persons
Rahul went to his mother's mother in law
Asked by admin @ in Math viewed by 4179 persons