Question

Solve the system of equations by graphically 3x+2y-11=0 and 2x-3y+10=0

Answer 1

3x + 2y = 11 ---------------- 1)

2x - 3y = - 10 ----------------- 2)

By Addition Subtraction Addition method ,

adding 1) and 2)

3x + 2y = 11

2x - 3y = - 10

5x - y = 1 -------- 3)

now ,. subtracting 1) and 2)

3x + 2y = 11

2x - 3y = - 10

- + +

X + 5y = 21 --------- 4)

now , multiply 3) by 5

:. 15x - 5y = 5 --------- 5)

now ,. adding 4) and 5)

X + 5y = 21

15x - 5y = 5

20x = 26

:. X = 26

20

:. X = 13

10

substitute this value ,

15 ( 13 / 10 ) - 5y = 5

:. 3 ( 13 / 2 ) - 5y = 5

:. 39 / 2 - 5y = 5

:. - 5y = 5 - ( 39 / 2 )

:. - 5y = -29 / 2

:. y = -29 / - 5 * 2

:. y = 29 / 10

:. y = 2.9