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Solve the following simultaneous equations graphically.

i. 2x + 3y = 12 ; x – y = 1 

ii. x – 3y = 1 ; 3x – 2y + 4 = 0 

iii. 5x – 6y + 30 = 0; 5x + 4y – 20 = 0 

iv. 3x – y – 2 = 0 ; 2x + y = 8 

v. 3x + y= 10 ; x – y = 2

1 Answer

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Best answer

i. The given simultaneous equations are

The two lines interest at point (3, 2).

∴ x = 3 and y = 2 is the solution of the simultaneous equations 2x + 3y = 12 and x – y = 1.

ii. The given simultaneous equations are

The two lines intersect at point (-2, -1).

∴ x = -2 and y = -1 is the solution of the simultaneous equations x – 3y = 1 and 3x – 2p + 4 = 0.

iii. The given simultaneous equations are

The two lines intersect at point (0, 5). 

∴ x = 0 and y = 5 is the solution of the simultaneous equations 5x – 6y + 30 = 0 and 5x + 4y – 20 = 0.

iv. The given simultaneous equations are

The two lines intersect at point (2, 4). 

∴ x = 2 and y = 4 is the solution of the simultaneous equations 3x – y – 2 = 0 and 2x + y = 8.

v. The given simultaneous equations are

The two lines intersect at point (3, 1). 

∴ x = 3 and y = 1 is the solution of the simultaneous equations 3x + y = 10 and x – y = 2.

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