Solving Simultaneous Linear Equation Using Cramer's Rule

Q.

Solve the pair of linear equations by substituting method:-

√2x+√3y=0

√3x-√8y=0

Q.

If $x+1$ is a factor of the polynomial $2x^2+kx$, then the value of $k$ is

1. -3

2. 4

3. 2

4. -2

Q. 21x+47y=110
47x+21y=162.

When I solving

Q.

7(y+3)-2(x+2)=14

4(y-2)+3(x-3)=2

Solve the system of equation

Q.

Solve for x and y: 3x + 2y = 11 and 2x + 3y = 4. Also find p if p = 8x + 5y

Q.

Solve the following pair of linear equation:

(a - b)x + (a + b)y = a² - 2ab - b²

( a + b)(x + y)= a² +b²

Q.

1/3y+ y + 1/3x-y=3/4

1/2(3x+y)-1/2(3x-y)=-1/8

Solve for x and y

Q.

The equation $4x^2-24xy+11y^2=0$represents

1. Two parallel lines

2. Two perpendicular lines

3. Two lines through the origin

4. A circle

Q.

The minimum value of ${\sec }^2\left(x\right)+{\mathrm{cosec}}^2\left(x\right)$ equals maximum value of $a{\sin }^2\left(x\right)+b{\cos }^2\left(x\right)$, where $a>b>0$, the value of $a$ is

1. $a=1$

2. $a=2$

3. $a=3$

4. $a=4$

Q. Solve the following system of equations
1/2(x+2y)+5/3(3x-2y)=-3/2
5/4(x+2y)-3/5(3x-2y)=61/60

Q.

What is a second-order determinant?

Q.

Solve the following system of equations

8v-3u=5uv

6v-5u=-2uv

Q.

What happens if the determinant of a $3\times 3$ matrix is $0$?

Q.

148/x + 231/y = 527/xy , 231/x + 148/y = 610/xy

Solve simultaneous equations

Q.

Solve using cross multiplication method:-

8x+5y=9

3x+2y=4

Q. Solve for x and y : 2x + y = 6 and 2x - y = 2

Q. I have problem in solving word problems of equations

Q.

Solve for x and y

99x + 101y=499xy

101x +99y= 501xy

Q.

Solve this…For example 24 H in a D. Ans: 24 hours in a day 1. 7 C in a RB 2. 5 L from A are V 3. 9 P in SS 4. 24 S in an IF 5. 3 W in a T 6. 13 L in a BD 7. 19 C in a CB 8. 12 N in a C 9. 29 D in F in L Y 10. 90 D in a R A Answering any 5, means your IQ is pretty high. Can somebody answer this!

Q.

If ${\log }_3\left(x\right)+{\log }_3\left(y\right)=2+{\log }_{3}2$ and ${\log }_3(x+y)=2$, then

1. $x=1,y=8$

2. $x=8,y=1$

3. $x=3,y=6$

4. $x=9,y=3$

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.

$-2x+4y=1$

$-2x+y=-3$

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. 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 pair of linear equations graphically: 2x+3y=2 and x-y=1

Q.

What is the maximum number of solutions that a pair of linear equations can have?

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.

A linear equation in two variables has _____________

1. one solution

2. two solutions

3. four solutions

4. infinite solutions

Q. Question 4
For the pair of equations $\lambda$ x+3y+7=0 and 2x + 6y – 14 = 0 to have infinitely many solutions, the value of $\lambda$ should be 1. Is the statement true? Give reasons

Q. Question 7 (iii)
Solve the following pair of linear equations.
$\frac{x}{a}-\frac{y}{b}=0$
$ax+by=a^2+b^2$