Question

Q.3. solve the following simultaneous equations
1. 2x + 3y=12; x-y=1
2. x-3y=1;3x-2y+4=0
3. 5x-6y+30=0;5x+4y-20=0
4. 3x-y-2=0;2x+y=8
5. 3x+y=10;x-y=2

Answer 1

Answer:

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Answer 2

Answer:

1.2x+3y=12;x-y=1

Step-by-step explanation:

2x+3y=12

x 0 6 3

y 4 0 2

x-y=1

x 0 1 3

y -1 0 2

The solution of a given equation is the point of intersection of the two line i.e.(3,2).

2.x-3y=1;3x-2y+4=0

x-3y=1

x 1 4 7

y 0 1 2

3x-2y+4=0

x 0 2 4

y 2 5 8

The solution of a given equation is the point of intersection of two line i.e.(-2,-1).

3.5x-6y+30=0;5x+4y-20=0

5x-6y+30=0

x 0 -6

y 5 0

5x+4y-20=0

x 0 4

y 5 0

The solution of given equation is the point of intersection of two line i.e.(0,5).

4.3x-y-2=0;2x+y=8

3x-y-2=0

x 0 1

y -2 1

2x+y=8

x 0 4

y 8 0

The solution of given equation is the point of intersection of two line i.e. (2,4).

5.3x+y=10;x-y=2

3x+y=10

x 0 1

y 10 7

x-y=2

x 0 2

y -2 0

The solution of given equation is the point of intersection of two line i.e. (3,1).