Question

show that the pair of lenear equation 7x+y=10 and x+7y=10 are coinsist​

Answer 1

Answer:

7x+y=10

x+7y=10

Comparing the pair of equations to the general form

we get

a1 = 7 b1 = 1 c1 = -10

a2 = 1 b2 = 7 c2 = -10

since $\frac{a1}{a2} \neq \frac{b1}{b2 } i.e \frac{7}{1} \neq \frac{1}{7}$

The equations have only one solution which means that they are consistent.