Assertion: If system of equations and has infinite solution

MATHEMATICS · Subjective · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables

Problem

Assertion: If system of equations 2x+3y=a2x + 3y = a and bx+4y=5bx + 4y = 5 has infinite solution, then a=154,b=85a = \frac{15}{4}, b = \frac{8}{5} Reason: Straight lines a1x+b1y+c1=0a_1 x + b_1 y + c_1 = 0 and a2x+b2y+c2=0a_2 x + b_2 y + c_2 = 0 are parallel, if a1a2=b1b2≠c1c2\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}

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