# GATE2014-5

The solution to the following set of equations is

$$2x+3y=4$$

$$4x+6y=0$$

1. $x=0,y=0$
2. $x=2, y=0$
3. $4x=-6y$
4. No solution

recategorized

## Related questions

1
The solution for the following set of equations is, $5x+4y+102=13$ $x+3y+z=7$ $4x2y+z=0$ $x=2,y=1,z=1$ $x=1,y=2,z=0$ $x=1,y=0,z=2$ $x=0,y=1,z=2$
2
The eigenvalues of A =$\begin{bmatrix} 1&-4\\2 & -3 \end{bmatrix}$are $2\underline{+}i$ $-1, -2$ $-1\underline{+}2i$ non-existent
The system of linear equations $cx+y=5$ $3x+3y=6$ has no solution when $c$ is equal to _______________________.
The value of $c$ for which the following system of linear equations has an infinite number of solutions is ________ $\begin{bmatrix}1 & 2 \\ 1 & 2 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} c \\ 4 \end{bmatrix}$
$\begin{array}{cc} 2x_1+ x_2 = 35 \\ 5x_1 + bx_2 = 7.5 \end{array}$ The system of linear equations in two variables shown above will have infinite solutions, if and only if, $b$ is equal to _________