For the pair of linear equations and

MATHEMATICS · Single correct · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables

Problem

For the pair of linear equations

a_1x + b_1y + c_1 = 0

and

a_2x + b_2y + c_2 = 0

, which of the following gives the value of

x

in terms of the coefficients? (a)

x = \displaystyle \frac{a_1c_2 - a_2c_1}{a_1b_2 - a_2b_1}

(b)

x = \displaystyle \frac{c_1b_2 - c_2b_1}{a_1b_2 - a_2b_1}

(c)

x = \displaystyle \frac{b_1c_2 - b_2c_1}{b_1a_2 - b_2a_1}

(d)

x = \displaystyle \frac{b_1c_2 - b_2c_1}{a_1b_2 - a_2b_1}