2. Animals in an experiment are to be kept on a strict diet. Each animal is to receive am other things 20g of protein and 6g of fat. The laboratory technicians purchased two se mixes, A and B. Mix A has 10% protein and 6% fat. Mix B has 20% protein and 2%%% How many grams of each mix should be used?

1. Two linear equations in the same two variables are called a pair of linear equations in two variables.

where a1, a2, b1, b2, c1, c2, are real numbers.

2. A pair of linear in two variables can be solved by using various methods.

3.The graph of a pair of linear equations in two variables is represented by two lines.

i) If the lines intersect at a point then the point gives the unique solution of the two equation In this case, the pair of equations is consistent and independent.

ii) If the lines coincide, then there are infinitely many solutions - each point on the re being a solution. In this case, the pair of equations is consistent and dependent.

iii) If the lines are parallel then the pair of equations has no solution. In this case, the par of equations is inconsistent.

4.We have discussed the following methods for finding the solution(s) of a pair of equations.

i Model Method.

ii) Graphical Method

Algebraic methods-Substitution method and Elimination method.

5.There are several situations which can be mathematically represented by two equat that are not linear to start with. But we can alter them so that they will be reduce of linear equations