Question

Show that the pair of linear equations 7x+y=10 and x+7y=10 are consistent

Answer 1

Answer: $7x+y=10$...(i)

              $x+7y=10$...(ii)

Step-by-step explanation: Now writting (i) and (ii) in standard form.

So,

$a_{1}x+ b_{1}y+ c_{1}=0$ where $a_{1}=7, b_{1}=1, c_{1} =-10$

$a_{2}x+ b_{2}y+ c_{2} =0$ where$a_{2}=1, b_{2}=7, c_{2} =-10$

Now comparing ,

$\frac{a_{1} }{a_{2} }= \frac{b_{2} }{b_{2} }$

⇒$\frac{7}{1}\neq \frac{1}{7}$

So,

The pair of equation has unique solution which means the pair of equation are consistent.