Question

solve,linear equation in two variable (2x - 3y =0) and (4x - y - 5=0)​

Answer 1

Answer:

Step-by-step explanation:

2x - 3y = 0 ------------- 1

4x - y = 5 -----------------2

multiply equation 2 by 3

3(4x - y = 5)

12 - 3y = 15 -------------3

Subtract eq 1 from 3

 12x - 3y = 15

- 2x - 3y = 0

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10x = 15

x = 15/10

x = 3/2

put x=3/2 in eq 2

4 * 3/2 - y = 5

2 * 3  - y = 5

6-y = 5

y = 6-5

y = 1

Answer 2

Step-by-step explanation:

By elimination method

2x - 3y = 0 (equestion 1)

4x - y = 5 (equestion 2)

multiply eq. 1 by 1 and eq. 2 by 3

2x - 3y = 0 (eq. 3)

12x- 3y = 15 (eq. 4)

subtract eq. 3 by eq. 4

12x - 3y = 15

2x - 3y = 0

__________

10x - 0 = 15

x = 15/10

x = 3/2

put the value of x in eq. 3

2x - 3y = 0

2(3/2) -3y = 0

3 - 3y = 0

-3y = -3

3y = 3

y = 3/3

y = 1

so, x = 3/2

and, y =1

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