Question

Use substitution to solve the system of linear equations. In your final answer, include all of your work.

Answer 1

The given linear equations has No solution.

Explanation:

Given:

`y = 3x-9`

`x-(1)/(3) y= -3`

Now we have been given 2 linear equation and we need to solve it by substitution method.

`y = 3x-9 \ \ \ \ equation \ 1`

`x-(1)/(3) y= -3 \ \ \ \ equation \ 2`

Now Substituting the value of equation 1 in equation 2 we get,

`x-(1)/(3) (3x-9)= -3\\\\x-(1)/(3)* 3x+ (1)/(3)* 9= -3\\\\x-x+3=-3\\3=-3`

It can't be true.

Since there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable.

Hence the above linear equations has No solution.