(a) Give the value of for which the system of equations
has an infinite number of solutions.
(b) With as in your answer to part (a), find a particular solution to this system.
Hello mr_motivatorIf, when you're solving simultaneous equations, there's an infinite number of solutions, then the equations are not independent. In the case of 2 equations in 2 unknowns, this simply means that one equation is a multiple of the other. So here, $\displaystyle b = 4$, and both sides of the second equation are clearly twice the first.
When $\displaystyle b = 4$, any value of $\displaystyle x$ will do to find a corresponding value of $\displaystyle y$.
E.g. $\displaystyle x = 1, y = -\frac{1}{5}$
Grandad
PS Beaten to it again!