Question

Solve the equation- (NOT- using graphical method)

4x − 5y + 16 = 0

2x + 6 − y = 0​

Answer 1

given : there are linear equation of two variables ; 4x - 5y + 16 = 0 and 2x + 6 - y = 0

we have to find the solution of given equations.

Solution : Let 4x - 5y + 16 = 0 .....(1)

2x + 6 - y = 2x - y + 6 = 0 .......(2)

multiplying 5 with equation (2) and then subtracting from equation (1)

i.e., 4x - 5y + 16 - 5(2x - y + 6) = 0

⇒4x - 5y + 16 - {10x - 5y + 30} = 0

⇒4x - 5y + 16 - 10x + 5y - 30 = 0

⇒-6x - 14 = 0

⇒x = -7/3

Now putting value of x in equation (1) we get,

2(-7/3) - y + 6 = 0

⇒-14/3 + 6 = y

⇒4/3 = y

Therefore the solution of given equations is x = 4/3 and y = -7/3.