Question

How do you solve `x= -y-6` and `x=y-3` using substitution?

Answer 1

Solution is `x=-9/2` and `y=-3/2`

Explanation:

To solve system of linear equation in two variables using substitution, one substitutes value of one variable from one equation in another equation.

In equations `x=−y−6` and `x=y−3`, let us substitute value of `x` (which is `y-3` into first equation which gives us

`y−3=−y−6` or by transposing similar terms `y+y=-6+3` or

`2y=-3` or `y=-3/2` and now putting this in `x=-3/2−3` or

`x=-9/2`

Hence solution is `x=-9/2` and `y=-3/2`