How do you solve x2y=1 and 2xy=4 using substitution?

1 Answer
Jun 1, 2018

x=3and=2

Explanation:

x2y=1eqn1

2xy=4eqn2

Using Substitution Method..

From eqn1

x2y=1eqn1

Making x the subject of formula;

x2y=1

x=1+2y

x=2y1eqn3

Substitute eqn3 into eqn2

2xy=4eqn2

2(2y1)y=4

4y2y=4

4yy2=4

3y2=4

3y=4+2

3y=6

y=63

y=2

Substituting the value of y into eqn3

x=2y1eqn3

x=2(2)1

x=41

x=3

Therefore;

x=3and=2