What is the solution 2 – 3y=1 x – 2y = 6

Mathematics

1 answer:

slava [35]3 years ago

6 0

Answer: x = - 16

y = - 11

Step-by-step explanation:

The given system of linear equations is expressed as

2x - 3y = 1- - - - - - - - - - - - -1

x - 2y = 6 - - - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 1 and equation 2 by 2. It becomes

2x - 3y = 1- - - - - - - - - - -3

2x - 4y = 12- - - - - - - - - - - -4

Subtracting equation 4 from equation 3, it becomes

y = - 11

Substituting y = - 11 into equation 2, it becomes

x - 2 × - 11 = 6

x + 22 = 6

Subtracting 22 from the left hand side and the right hand side of the equation, it becomes

x + 22 - 22 = 6 - 22

x = - 16

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