How do you solve x-2y=-1x2y=1 and 2x-y=42xy=4 using substitution?

1 Answer
Jun 1, 2018

x = 3 and = 2x=3and=2

Explanation:

x - 2y = -1 - - - eqn1x2y=1eqn1

2x - y = 4 - - - eqn22xy=4eqn2

Using Substitution Method..

From eqn1eqn1

x - 2y = -1 - - - eqn1x2y=1eqn1

Making xx the subject of formula;

x - 2y = -1x2y=1

x = -1 + 2yx=1+2y

x = 2y - 1 - - - eqn3x=2y1eqn3

Substitute eqn3eqn3 into eqn2eqn2

2x - y = 4 - - - eqn22xy=4eqn2

2(2y - 1) - y = 42(2y1)y=4

4y - 2 - y = 44y2y=4

4y - y - 2 = 44yy2=4

3y - 2 = 43y2=4

3y = 4 + 23y=4+2

3y = 63y=6

y = 6/3y=63

y = 2y=2

Substituting the value of yy into eqn3eqn3

x = 2y - 1 - - - eqn3x=2y1eqn3

x = 2(2) - 1x=2(2)1

x = 4 - 1x=41

x = 3x=3

Therefore;

x = 3 and = 2x=3and=2