Question

How do you solve the system of linear equations `y=-x+6` and `y=3/4x-1`?

Answer 1

Soln. : `x=4, y=2`

Explanation:

Put the value of `y` given by the First eqn. in the Second eqn. to get,

`-x+6=3/4x-1 rArr 6+1=3/4x+x rArr 7=(3x+4x)/4`

`rArr 7=7/4x rArr 7*4/7=x rArr x=4`

Putting `x=4` in the First eqn., we get #y=-4+6=2>

Hence, the soln. `x=4, y=2`