The pair of equations ax + 2y = 7 and 3x + by = 16 represent parallel lines if

a. a=b b. 3a = 2b c. 2a = 3b d. ab = 6

Question

The pair of equations ax + 2y = 7 and 3x + by = 16 represent
parallel lines if
a a=b b 3a = 2b c 2a = 3b d ab = 6

Ankush Jain · Accepted Answer

Given system of equations is: ax+2y=7 and 3x+by=16 They can be rewritten as: ax + 2y - 7 = 0 and 3x + by - 16 = 0 We know that, for the given system of equations to have parallel lines or inconsistent solution, $\frac{a_{1}}{a_{2}}$ = $\frac{b_{1}}{b_{2}}$ â‰ $\frac{c_{1}}{c_{2}}$ , i e , $\frac{a}{3}$ = $\frac{2}{b}$ â‡’ ab = 6

The pair of equations ax + 2y = 7 and 3x + by = 16 represent parallel lines if a. a=b b. 3a = 2b c. 2a = 3b d. ab = 6

The pair of equations ax + 2y = 7 and 3x + by = 16 represent parallel lines if

a. a=b b. 3a = 2b c. 2a = 3b d. ab = 6