Question

solve the equation (Not using graphical method)

4 x- 5 y + 16 =0

2x + y - 6=0​

Answer 1

let 4x-5y+16 = 0 be equation (1)

and 2x+y-6=0 be equation (2)

now multiply equation (2) by 2

= 4x+2y-12=0 .........(3)

subtracting equation (3) from equation (1),

4x-5y+16-(4x+2y-12)=0

4x-5y+16-4x-2y+12=0

-7y+28=0

-7y = -28 . so y = 4

substituting the value of y in equation (1),

4x-5(4)+16=0

= 4x-20+16= 0

4x= 4 . so X = 1 .

so X = 1 and y = 4.