Solving Simultaneous Linear Equation Using Cramer's Rule

Q. Using Cramers rule, solve for the values of x and y.

$3x+5y=29$

$7x+3y=33$

1. $x=-4,y=-3$
2. $x=4,y=3$
3. $x=3,y=4$
4. $x=-3,y=-4$

Q.

Solve the following system using Cramer’s Rule.

$5x+y=-13$

$3x-2y=0$

1. $x=-2\text{and}y=3$
2. $x=2\text{and}y=3$
3. $x=-2\text{and}y=-3$
4. $x=2\text{and}y=-3$

Q.

Solve the following system using Cramer’s Rule.

$3x+5y=-7$

$x+4y=-14$

1. $x=-6\text{and}y=5$
2. $x=6\text{and}y=-5$
3. $x=-5\text{and}y=6$
4. $x=6\text{and}y=5$

Q. The perimeter of a rectangle is 20cm and the difference between its length and breadth is 4cm.
The length and breadth of the rectangle will respectively be ___

1. 4cm, 3cm
2. 7cm, 3cm
3. 10cm, 5cm
4. 1cm, 4cm

Q. Solve the following system using Cramer’s Rule.

$5x+y=-13$

$3x-2y=0$

1. $x=-4\text{and}y=-5$
2. $x=2\text{and}y=-3$
3. $x=2\text{and}y=3$
4. $x=-2\text{and}y=-3$

Q.

Solve the following system using Cramer’s Rule.

$-4x+3y=-4$

$-8x+5y=0$

1. $x=-5\text{and}y=-8$
2. $x=8\text{and}y=-8$
3. $x=5\text{and}y=8$
4. $x=-5\text{and}y=8$

Q. Solve the following system using Cramer’s Rule.

$2x+3y=4$

$x+y=1$

1. $x=1\text{and}y=-2$
2. $x=-1\text{and}y=2$
3. $x=-1\text{and}y=-2$
4. $x=-1\text{and}y=2$

Q. Using Cramer's Rule solve for the values of x and y.

$3x+5y=29$

$7x+3y=33$

x =
y =

1. 4
2. 3
3. 1
4. 2
5. 6

Q. Solve the following system using Cramer’s Rule.

$-2x+4y=1$

$-2x+y=-3$

1. $x=\frac{13}{6}\text{and}y=\frac{8}{3}$
2. $x=\frac{13}{6}\text{and}y=\frac{4}{3}$
3. $x=\frac{13}{6}\text{and}y=\frac{-2}{3}$
4. $x=\frac{13}{6}\text{and}y=\frac{2}{3}$

Q.

Find the values of $x$ and $y$ for the system of equations, $x+y=2$ and $3x-y=6$ using Cramer's Rule.

1. An infinite number of solutions
2. A unique solution
3. Zero solution as the only solution
4. No solutions