Question

determine graphically whether the following pair of equations, 3 X + Y - 12 = 0 and x-3 Y + 6 = 0 has unique solution or no solutions or infinite number of solutions also find the area formed by these lines and y-axis if the equation has unique solution. ​

Answer 1

Given ;

• eq1 : 3x + y - 12 = 0
• eq2 : x - 3y + 6 = 0

Thus by comparing bote the eqⁿ by standard linear eq in 2 variables ( ax + by + c = 0 )

• a1 = 3
• b1 = 1
• c1 = -12
• a2 = 1
• b2 = -3
• c2 = 6

Thus a1/a2 ;

• 3/1

Thus b1/b2 ;

• -1/3

Thus c1/c2 ;

• -2/1

Since ; a1/a2 ≠ b1/b2

Thus the given system of equation has a unique solution.

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