Recent questions tagged system-of-equation

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In the following system of equations $2^{y-x} \left(x+y \right)=1$ & $\left(x+y \right)^{x-y}=2$ the value of $xy$ is : $\frac{1}{2}$ $\frac{3}{4}$ $\frac{1}{4}$ $1$
Determine $a+b$ such that the following system of equations: $2x-(a-4)y=2b+1 \text{ and }4x-(a-1)y=5b-1$ infinite solutions. $11$ $9$ $10$ $8$
The equation $ax-(a+b)y=1$ and $(a-b)x+ay=5$ have a unique solution: for all values of $a$ and $b$ only when $a=b$ only when $a^{2}:b^{2}=1:2$ only when $a=0$ and $b=0$
For what values of $‘k’$ will the pair of equations $3x + 4y =12$ and $kx + 12y = 30$ $NOT$ have a unique solution ? $9$ $12$ $3$ $7.5$