Question

If the system of equations has infinitely many solutions, then

$$\begin{gathered} 2x+3y=7 \\ 2ax+\left(a+b\right)y=28 \end{gathered}$$

(a) a = 2b
(b) b = 2a
(c) a + 2b = 0
(d) 2a + b = 0

Answer 1

Given the system of equations are

For the equations to have infinite number of solutions,

By cross multiplication we have

Divide both sides by 2. we get

Hence, the correct choice is .