# Solve the Following Simultaneous Equations - Algebra

Sum

Solve the following simultaneous equations

1/(3x)-1/(4y)+1=0;

1/(5x)+1/(2y)=4/15

#### Solution

1/(3x)-1/(4y)+1=0 and 1/(5x)+1/(2y)=4/15

1/(3x)-1/(4y)=-1 and 1/(5x)+1/(2y)=4/15

Let 1/x=a and 1/y=b

a/3-b/4=-1 and a/5+b/2=4/15

4a-3b=-12 and 2a+5b=40/15

4a-3b=-12 and 2a+5b=8/3

4a-3b=-12 and 6a+15b=8

Solving thetwo equations, we get a=-2 and b=4/3

resubstituting 1/x=a and 1/y=b

=>x=-1/2 and y=3/4

Concept: Algebraic Methods of Solving a Pair of Linear Equations - Substitution Method
Is there an error in this question or solution?