Question

In a class, a teacher was explaining to the students about cross multiplication method.The teacher explained that a pair of linear equations a₁x + b₁y + c₁ = 0 and a₂x + b₂y+ c₂ = 0 can be solved by remembering the following diagram

Is teacher correct or wrong?

• A. True
• B. False

Answer 1

The correct option is A

True

In the cross multiplication method, we calculate x and y by remembering the following figure.

From the figure,we get

$\frac{x}{b_1{c}_2-b_2{c}_1}$ = $\frac{y}{c_1{a}_2-c_2{a}_1}$ = $\frac{1}{a_1{b}_2-a_2{b}_1}$

From the above two equations we can find x and y