1.

Solve the following pair of linear equations by theelimination method:0.3x - 0.8y = -1.10.5x -0.7y =0.7

Answer»

Step-by-step EXPLANATION:

We Have :-

0.3x - 0.8y = - 1.1 \\ \\ \\ 0.5x - 0.7y = 0.7

To FIND :-

value \: of \: x \: and \: y

METHOD USED :-

elimination \: method

SOLUTION :-

0.3x - 0.8y = - 1.1 - - - (1)\\ \\ \\ multiply \: (1) \: with \: 5 \\ \\ \\ 1.5x - 4y = - 5.5 - - - (2) \\ \\ \\ \\ 0.5x - 0.7y = 0.7 - - - (3) \\ \\ \\ multiply \: (3) \: with \: 3 \\ \\ \\ 1.5x - 2.1y = 2.1 - - - (4) \\ \\ \\ subtracting \: (4) \: from \: (2) \\ \\ \\ \: \: \: \: \: 1.5x - 4y = - 5.5 \\ \\ \\ - (1.5x - 2.1y = 2.1) \\ \\ \\ - 1.9y = - 7.6 \\ \\ \\ 19y = 76 \\ \\ \\ y = 4 \\ \\ \\ putting \: this \: value \: in \: (1) \\ \\ \\ 0.3x - 0.8(4) = - 1.1 \\ \\ \\ 0.3x - 3.2 = - 1.1 \\ \\ \\ 0.3x = - 1.1 + 3.2 \\ \\ \\ 0.3x = 2.1 \\ \\ \\ 3x = 21 \\ \\ \\ x = 7


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