Q

# Solve the following pair of linear equations by the substitution method. (iii) 3x - y = 3 9x - 3y = 9

Q1.    Solve the following pair of linear equations by the substitution method.

(iii)    $\\ 3 x - y = 3\\ 9x - 3y = 9$

Views

Given, two equations,

$\\ 3 x - y = 3......(1)\\ 9x - 3y = 9.....(2)$

Now, from (1), we have

$y=3x-3........(3)$

Substituting this in (2), we get

$9x-3(3x-3)=9$

$\Rightarrow 9x-9x+9=9$

$\Rightarrow 9=9$

This is always true, and hence this pair of the equation has infinite solutions.

As we have

$y=3x-3$,

One of many possible solutions is $x=1,\:and\:y=0$.

Exams
Articles
Questions